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Finding the Fourth Proportional to 1,613.16, 2,419.52 and 735.39

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Solution

The fourth proportional to 1,613.16, 2,419.52 and 735.39 is: 1,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.16 : 2,419.52 = 735.39 : x
  2. Step 2: Convert to fraction form
    1,613.16/2,419.52 = 735.39/x
  3. Step 3: Cross multiply
    1,613.16x = 2,419.52 × 735.39
  4. Step 4: Simplify right side
    1,613.16x = 1,779,287.14
  5. Step 5: Solve for x
    x = 1,779,287.14/1,613.16
  6. Step 6: Final answer
    x = 1,102.98

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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.