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Finding the Fourth Proportional to 1,905,804.24, 2,854,969.08 and 1,105,404.24

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Solution

The fourth proportional to 1,905,804.24, 2,854,969.08 and 1,105,404.24 is: 1,655,938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905,804.24 : 2,854,969.08 = 1,105,404.24 : x
  2. Step 2: Convert to fraction form
    1,905,804.24/2,854,969.08 = 1,105,404.24/x
  3. Step 3: Cross multiply
    1,905,804.24x = 2,854,969.08 × 1,105,404.24
  4. Step 4: Simplify right side
    1,905,804.24x = 3,155,894,926,100.90
  5. Step 5: Solve for x
    x = 3,155,894,926,100.90/1,905,804.24
  6. Step 6: Final answer
    x = 1,655,938.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.