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Finding the Fourth Proportional to 1,591.59, 2,384.96 and 1,425.95

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Solution

The fourth proportional to 1,591.59, 2,384.96 and 1,425.95 is: 2,136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.59 : 2,384.96 = 1,425.95 : x
  2. Step 2: Convert to fraction form
    1,591.59/2,384.96 = 1,425.95/x
  3. Step 3: Cross multiply
    1,591.59x = 2,384.96 × 1,425.95
  4. Step 4: Simplify right side
    1,591.59x = 3,400,814.66
  5. Step 5: Solve for x
    x = 3,400,814.66/1,591.59
  6. Step 6: Final answer
    x = 2,136.74

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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.