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Finding the Fourth Proportional to 1,613.08, 2,419.34 and 735.32

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Solution

The fourth proportional to 1,613.08, 2,419.34 and 735.32 is: 1,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.08 : 2,419.34 = 735.32 : x
  2. Step 2: Convert to fraction form
    1,613.08/2,419.34 = 735.32/x
  3. Step 3: Cross multiply
    1,613.08x = 2,419.34 × 735.32
  4. Step 4: Simplify right side
    1,613.08x = 1,778,989.09
  5. Step 5: Solve for x
    x = 1,778,989.09/1,613.08
  6. Step 6: Final answer
    x = 1,102.85

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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.