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Finding the Fourth Proportional to 2,613.35, 3,920.42 and 947.60

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Solution

The fourth proportional to 2,613.35, 3,920.42 and 947.60 is: 1,421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.35 : 3,920.42 = 947.60 : x
  2. Step 2: Convert to fraction form
    2,613.35/3,920.42 = 947.60/x
  3. Step 3: Cross multiply
    2,613.35x = 3,920.42 × 947.60
  4. Step 4: Simplify right side
    2,613.35x = 3,714,982.13
  5. Step 5: Solve for x
    x = 3,714,982.13/2,613.35
  6. Step 6: Final answer
    x = 1,421.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.