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Finding the Fourth Proportional to 2,376.81, 3,565.46 and 1,440.52

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Solution

The fourth proportional to 2,376.81, 3,565.46 and 1,440.52 is: 2,160.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.81 : 3,565.46 = 1,440.52 : x
  2. Step 2: Convert to fraction form
    2,376.81/3,565.46 = 1,440.52/x
  3. Step 3: Cross multiply
    2,376.81x = 3,565.46 × 1,440.52
  4. Step 4: Simplify right side
    2,376.81x = 5,136,111.13
  5. Step 5: Solve for x
    x = 5,136,111.13/2,376.81
  6. Step 6: Final answer
    x = 2,160.93

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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.