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Finding the Fourth Proportional to 2,175.56, 3,263.68 and 714.38

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Solution

The fourth proportional to 2,175.56, 3,263.68 and 714.38 is: 1,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.56 : 3,263.68 = 714.38 : x
  2. Step 2: Convert to fraction form
    2,175.56/3,263.68 = 714.38/x
  3. Step 3: Cross multiply
    2,175.56x = 3,263.68 × 714.38
  4. Step 4: Simplify right side
    2,175.56x = 2,331,507.72
  5. Step 5: Solve for x
    x = 2,331,507.72/2,175.56
  6. Step 6: Final answer
    x = 1,071.68

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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.