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Finding the Fourth Proportional to 2,315.70, 3,472.28 and 1,015.64

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Solution

The fourth proportional to 2,315.70, 3,472.28 and 1,015.64 is: 1,522.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.70 : 3,472.28 = 1,015.64 : x
  2. Step 2: Convert to fraction form
    2,315.70/3,472.28 = 1,015.64/x
  3. Step 3: Cross multiply
    2,315.70x = 3,472.28 × 1,015.64
  4. Step 4: Simplify right side
    2,315.70x = 3,526,586.46
  5. Step 5: Solve for x
    x = 3,526,586.46/2,315.70
  6. Step 6: Final answer
    x = 1,522.90

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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.