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Finding the Fourth Proportional to 1,507.92, 2,262.12 and 857.31

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Solution

The fourth proportional to 1,507.92, 2,262.12 and 857.31 is: 1,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.92 : 2,262.12 = 857.31 : x
  2. Step 2: Convert to fraction form
    1,507.92/2,262.12 = 857.31/x
  3. Step 3: Cross multiply
    1,507.92x = 2,262.12 × 857.31
  4. Step 4: Simplify right side
    1,507.92x = 1,939,338.10
  5. Step 5: Solve for x
    x = 1,939,338.10/1,507.92
  6. Step 6: Final answer
    x = 1,286.10

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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.