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Finding the Fourth Proportional to 2,176.83, 3,265.56 and 715.62

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Solution

The fourth proportional to 2,176.83, 3,265.56 and 715.62 is: 1,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.83 : 3,265.56 = 715.62 : x
  2. Step 2: Convert to fraction form
    2,176.83/3,265.56 = 715.62/x
  3. Step 3: Cross multiply
    2,176.83x = 3,265.56 × 715.62
  4. Step 4: Simplify right side
    2,176.83x = 2,336,900.05
  5. Step 5: Solve for x
    x = 2,336,900.05/2,176.83
  6. Step 6: Final answer
    x = 1,073.53

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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.