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Finding the Fourth Proportional to 2,376.97, 3,562.98 and 895.17

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Solution

The fourth proportional to 2,376.97, 3,562.98 and 895.17 is: 1,341.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.97 : 3,562.98 = 895.17 : x
  2. Step 2: Convert to fraction form
    2,376.97/3,562.98 = 895.17/x
  3. Step 3: Cross multiply
    2,376.97x = 3,562.98 × 895.17
  4. Step 4: Simplify right side
    2,376.97x = 3,189,468.33
  5. Step 5: Solve for x
    x = 3,189,468.33/2,376.97
  6. Step 6: Final answer
    x = 1,341.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.