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Finding the Fourth Proportional to 1,357.38, 2,037.25 and 1,011.41

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Solution

The fourth proportional to 1,357.38, 2,037.25 and 1,011.41 is: 1,517.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.38 : 2,037.25 = 1,011.41 : x
  2. Step 2: Convert to fraction form
    1,357.38/2,037.25 = 1,011.41/x
  3. Step 3: Cross multiply
    1,357.38x = 2,037.25 × 1,011.41
  4. Step 4: Simplify right side
    1,357.38x = 2,060,499.47
  5. Step 5: Solve for x
    x = 2,060,499.47/1,357.38
  6. Step 6: Final answer
    x = 1,517.99

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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.