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Finding the Fourth Proportional to 1,901.92, 2,624.70 and 1,115.98

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Solution

The fourth proportional to 1,901.92, 2,624.70 and 1,115.98 is: 1,540.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.92 : 2,624.70 = 1,115.98 : x
  2. Step 2: Convert to fraction form
    1,901.92/2,624.70 = 1,115.98/x
  3. Step 3: Cross multiply
    1,901.92x = 2,624.70 × 1,115.98
  4. Step 4: Simplify right side
    1,901.92x = 2,929,112.71
  5. Step 5: Solve for x
    x = 2,929,112.71/1,901.92
  6. Step 6: Final answer
    x = 1,540.08

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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.