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Finding the Fourth Proportional to 2,175.89, 3,263.13 and 714.69

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Solution

The fourth proportional to 2,175.89, 3,263.13 and 714.69 is: 1,071.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.89 : 3,263.13 = 714.69 : x
  2. Step 2: Convert to fraction form
    2,175.89/3,263.13 = 714.69/x
  3. Step 3: Cross multiply
    2,175.89x = 3,263.13 × 714.69
  4. Step 4: Simplify right side
    2,175.89x = 2,332,126.38
  5. Step 5: Solve for x
    x = 2,332,126.38/2,175.89
  6. Step 6: Final answer
    x = 1,071.81

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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.