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Finding the Fourth Proportional to 1,652.76, 2,471.96 and 957.72

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Solution

The fourth proportional to 1,652.76, 2,471.96 and 957.72 is: 1,432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.76 : 2,471.96 = 957.72 : x
  2. Step 2: Convert to fraction form
    1,652.76/2,471.96 = 957.72/x
  3. Step 3: Cross multiply
    1,652.76x = 2,471.96 × 957.72
  4. Step 4: Simplify right side
    1,652.76x = 2,367,445.53
  5. Step 5: Solve for x
    x = 2,367,445.53/1,652.76
  6. Step 6: Final answer
    x = 1,432.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.