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Finding the Fourth Proportional to 2,957.31, 4,436.57 and 1,009.67

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Solution

The fourth proportional to 2,957.31, 4,436.57 and 1,009.67 is: 1,514.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.31 : 4,436.57 = 1,009.67 : x
  2. Step 2: Convert to fraction form
    2,957.31/4,436.57 = 1,009.67/x
  3. Step 3: Cross multiply
    2,957.31x = 4,436.57 × 1,009.67
  4. Step 4: Simplify right side
    2,957.31x = 4,479,451.97
  5. Step 5: Solve for x
    x = 4,479,451.97/2,957.31
  6. Step 6: Final answer
    x = 1,514.70

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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.