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Finding the Fourth Proportional to 1,404.54, 1,938.06 and 880.74

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Solution

The fourth proportional to 1,404.54, 1,938.06 and 880.74 is: 1,215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.54 : 1,938.06 = 880.74 : x
  2. Step 2: Convert to fraction form
    1,404.54/1,938.06 = 880.74/x
  3. Step 3: Cross multiply
    1,404.54x = 1,938.06 × 880.74
  4. Step 4: Simplify right side
    1,404.54x = 1,706,926.96
  5. Step 5: Solve for x
    x = 1,706,926.96/1,404.54
  6. Step 6: Final answer
    x = 1,215.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.