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Finding the Fourth Proportional to 2,565.88, 3,845.28 and 1,175.76

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Solution

The fourth proportional to 2,565.88, 3,845.28 and 1,175.76 is: 1,762.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.88 : 3,845.28 = 1,175.76 : x
  2. Step 2: Convert to fraction form
    2,565.88/3,845.28 = 1,175.76/x
  3. Step 3: Cross multiply
    2,565.88x = 3,845.28 × 1,175.76
  4. Step 4: Simplify right side
    2,565.88x = 4,521,126.41
  5. Step 5: Solve for x
    x = 4,521,126.41/2,565.88
  6. Step 6: Final answer
    x = 1,762.02

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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.