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Finding the Fourth Proportional to 2,957.52, 4,436.92 and 1,009.60

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Solution

The fourth proportional to 2,957.52, 4,436.92 and 1,009.60 is: 1,514.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.52 : 4,436.92 = 1,009.60 : x
  2. Step 2: Convert to fraction form
    2,957.52/4,436.92 = 1,009.60/x
  3. Step 3: Cross multiply
    2,957.52x = 4,436.92 × 1,009.60
  4. Step 4: Simplify right side
    2,957.52x = 4,479,514.43
  5. Step 5: Solve for x
    x = 4,479,514.43/2,957.52
  6. Step 6: Final answer
    x = 1,514.62

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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.