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Finding the Fourth Proportional to 1,565.29, 2,343.84 and 1,015.81

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Solution

The fourth proportional to 1,565.29, 2,343.84 and 1,015.81 is: 1,521.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.29 : 2,343.84 = 1,015.81 : x
  2. Step 2: Convert to fraction form
    1,565.29/2,343.84 = 1,015.81/x
  3. Step 3: Cross multiply
    1,565.29x = 2,343.84 × 1,015.81
  4. Step 4: Simplify right side
    1,565.29x = 2,380,896.11
  5. Step 5: Solve for x
    x = 2,380,896.11/1,565.29
  6. Step 6: Final answer
    x = 1,521.06

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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.