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Finding the Fourth Proportional to 2,101.52, 3,152.96 and 1,005.74

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Solution

The fourth proportional to 2,101.52, 3,152.96 and 1,005.74 is: 1,508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.52 : 3,152.96 = 1,005.74 : x
  2. Step 2: Convert to fraction form
    2,101.52/3,152.96 = 1,005.74/x
  3. Step 3: Cross multiply
    2,101.52x = 3,152.96 × 1,005.74
  4. Step 4: Simplify right side
    2,101.52x = 3,171,057.99
  5. Step 5: Solve for x
    x = 3,171,057.99/2,101.52
  6. Step 6: Final answer
    x = 1,508.94

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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.