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Finding the Fourth Proportional to 2,175.27, 3,262.65 and 714.06

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Solution

The fourth proportional to 2,175.27, 3,262.65 and 714.06 is: 1,071.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.27 : 3,262.65 = 714.06 : x
  2. Step 2: Convert to fraction form
    2,175.27/3,262.65 = 714.06/x
  3. Step 3: Cross multiply
    2,175.27x = 3,262.65 × 714.06
  4. Step 4: Simplify right side
    2,175.27x = 2,329,736.02
  5. Step 5: Solve for x
    x = 2,329,736.02/2,175.27
  6. Step 6: Final answer
    x = 1,071.01

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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.