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Finding the Fourth Proportional to 2,583.81, 3,565.71 and 1,521.63

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Solution

The fourth proportional to 2,583.81, 3,565.71 and 1,521.63 is: 2,099.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.81 : 3,565.71 = 1,521.63 : x
  2. Step 2: Convert to fraction form
    2,583.81/3,565.71 = 1,521.63/x
  3. Step 3: Cross multiply
    2,583.81x = 3,565.71 × 1,521.63
  4. Step 4: Simplify right side
    2,583.81x = 5,425,691.31
  5. Step 5: Solve for x
    x = 5,425,691.31/2,583.81
  6. Step 6: Final answer
    x = 2,099.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.