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Finding the Fourth Proportional to 1,814.59, 2,503.97 and 1,225.92

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Solution

The fourth proportional to 1,814.59, 2,503.97 and 1,225.92 is: 1,691.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.59 : 2,503.97 = 1,225.92 : x
  2. Step 2: Convert to fraction form
    1,814.59/2,503.97 = 1,225.92/x
  3. Step 3: Cross multiply
    1,814.59x = 2,503.97 × 1,225.92
  4. Step 4: Simplify right side
    1,814.59x = 3,069,666.90
  5. Step 5: Solve for x
    x = 3,069,666.90/1,814.59
  6. Step 6: Final answer
    x = 1,691.66

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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.