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Finding the Fourth Proportional to 1,709.49, 2,563.43 and 1,124.47

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Solution

The fourth proportional to 1,709.49, 2,563.43 and 1,124.47 is: 1,686.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.49 : 2,563.43 = 1,124.47 : x
  2. Step 2: Convert to fraction form
    1,709.49/2,563.43 = 1,124.47/x
  3. Step 3: Cross multiply
    1,709.49x = 2,563.43 × 1,124.47
  4. Step 4: Simplify right side
    1,709.49x = 2,882,500.13
  5. Step 5: Solve for x
    x = 2,882,500.13/1,709.49
  6. Step 6: Final answer
    x = 1,686.18

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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.