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Finding the Fourth Proportional to 2,895.42, 4,342.65 and 1,251.66

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Solution

The fourth proportional to 2,895.42, 4,342.65 and 1,251.66 is: 1,877.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.42 : 4,342.65 = 1,251.66 : x
  2. Step 2: Convert to fraction form
    2,895.42/4,342.65 = 1,251.66/x
  3. Step 3: Cross multiply
    2,895.42x = 4,342.65 × 1,251.66
  4. Step 4: Simplify right side
    2,895.42x = 5,435,521.30
  5. Step 5: Solve for x
    x = 5,435,521.30/2,895.42
  6. Step 6: Final answer
    x = 1,877.28

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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.