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Finding the Fourth Proportional to 2,176.62, 3,264.23 and 715.43

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Solution

The fourth proportional to 2,176.62, 3,264.23 and 715.43 is: 1,072.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.62 : 3,264.23 = 715.43 : x
  2. Step 2: Convert to fraction form
    2,176.62/3,264.23 = 715.43/x
  3. Step 3: Cross multiply
    2,176.62x = 3,264.23 × 715.43
  4. Step 4: Simplify right side
    2,176.62x = 2,335,328.07
  5. Step 5: Solve for x
    x = 2,335,328.07/2,176.62
  6. Step 6: Final answer
    x = 1,072.91

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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.