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Finding the Fourth Proportional to 2,565.41, 3,848.10 and 617.61

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Solution

The fourth proportional to 2,565.41, 3,848.10 and 617.61 is: 926.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.41 : 3,848.10 = 617.61 : x
  2. Step 2: Convert to fraction form
    2,565.41/3,848.10 = 617.61/x
  3. Step 3: Cross multiply
    2,565.41x = 3,848.10 × 617.61
  4. Step 4: Simplify right side
    2,565.41x = 2,376,625.04
  5. Step 5: Solve for x
    x = 2,376,625.04/2,565.41
  6. Step 6: Final answer
    x = 926.41

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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.