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Finding the Fourth Proportional to 2,409.00, 3,613.18 and 654.13

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Solution

The fourth proportional to 2,409.00, 3,613.18 and 654.13 is: 981.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.00 : 3,613.18 = 654.13 : x
  2. Step 2: Convert to fraction form
    2,409.00/3,613.18 = 654.13/x
  3. Step 3: Cross multiply
    2,409.00x = 3,613.18 × 654.13
  4. Step 4: Simplify right side
    2,409.00x = 2,363,475.06
  5. Step 5: Solve for x
    x = 2,363,475.06/2,409.00
  6. Step 6: Final answer
    x = 981.10

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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.