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Finding the Fourth Proportional to 2,315.12, 3,471.31 and 929.11

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Solution

The fourth proportional to 2,315.12, 3,471.31 and 929.11 is: 1,393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.12 : 3,471.31 = 929.11 : x
  2. Step 2: Convert to fraction form
    2,315.12/3,471.31 = 929.11/x
  3. Step 3: Cross multiply
    2,315.12x = 3,471.31 × 929.11
  4. Step 4: Simplify right side
    2,315.12x = 3,225,228.83
  5. Step 5: Solve for x
    x = 3,225,228.83/2,315.12
  6. Step 6: Final answer
    x = 1,393.12

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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.