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Finding the Fourth Proportional to 1,613.18, 2,420.08 and 747.50

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Solution

The fourth proportional to 1,613.18, 2,420.08 and 747.50 is: 1,121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.18 : 2,420.08 = 747.50 : x
  2. Step 2: Convert to fraction form
    1,613.18/2,420.08 = 747.50/x
  3. Step 3: Cross multiply
    1,613.18x = 2,420.08 × 747.50
  4. Step 4: Simplify right side
    1,613.18x = 1,809,009.80
  5. Step 5: Solve for x
    x = 1,809,009.80/1,613.18
  6. Step 6: Final answer
    x = 1,121.39

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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.