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Finding the Fourth Proportional to 2,152.47, 3,229.34 and 1,113.06

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Solution

The fourth proportional to 2,152.47, 3,229.34 and 1,113.06 is: 1,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.47 : 3,229.34 = 1,113.06 : x
  2. Step 2: Convert to fraction form
    2,152.47/3,229.34 = 1,113.06/x
  3. Step 3: Cross multiply
    2,152.47x = 3,229.34 × 1,113.06
  4. Step 4: Simplify right side
    2,152.47x = 3,594,443.62
  5. Step 5: Solve for x
    x = 3,594,443.62/2,152.47
  6. Step 6: Final answer
    x = 1,669.92

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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.