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Finding the Fourth Proportional to 2,565.02, 3,850.13 and 1,732.01

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Solution

The fourth proportional to 2,565.02, 3,850.13 and 1,732.01 is: 2,599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.02 : 3,850.13 = 1,732.01 : x
  2. Step 2: Convert to fraction form
    2,565.02/3,850.13 = 1,732.01/x
  3. Step 3: Cross multiply
    2,565.02x = 3,850.13 × 1,732.01
  4. Step 4: Simplify right side
    2,565.02x = 6,668,448.74
  5. Step 5: Solve for x
    x = 6,668,448.74/2,565.02
  6. Step 6: Final answer
    x = 2,599.76

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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.