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Finding the Fourth Proportional to 3,115.79, 4,673.58 and 1,266.36

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Solution

The fourth proportional to 3,115.79, 4,673.58 and 1,266.36 is: 1,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.79 : 4,673.58 = 1,266.36 : x
  2. Step 2: Convert to fraction form
    3,115.79/4,673.58 = 1,266.36/x
  3. Step 3: Cross multiply
    3,115.79x = 4,673.58 × 1,266.36
  4. Step 4: Simplify right side
    3,115.79x = 5,918,434.77
  5. Step 5: Solve for x
    x = 5,918,434.77/3,115.79
  6. Step 6: Final answer
    x = 1,899.50

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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.