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Finding the Fourth Proportional to 1,508.56, 2,080.68 and 1,209.47

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Solution

The fourth proportional to 1,508.56, 2,080.68 and 1,209.47 is: 1,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.56 : 2,080.68 = 1,209.47 : x
  2. Step 2: Convert to fraction form
    1,508.56/2,080.68 = 1,209.47/x
  3. Step 3: Cross multiply
    1,508.56x = 2,080.68 × 1,209.47
  4. Step 4: Simplify right side
    1,508.56x = 2,516,525.04
  5. Step 5: Solve for x
    x = 2,516,525.04/1,508.56
  6. Step 6: Final answer
    x = 1,668.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.