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Finding the Fourth Proportional to 1,537.17, 2,304.58 and 714.84

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Solution

The fourth proportional to 1,537.17, 2,304.58 and 714.84 is: 1,071.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.17 : 2,304.58 = 714.84 : x
  2. Step 2: Convert to fraction form
    1,537.17/2,304.58 = 714.84/x
  3. Step 3: Cross multiply
    1,537.17x = 2,304.58 × 714.84
  4. Step 4: Simplify right side
    1,537.17x = 1,647,405.97
  5. Step 5: Solve for x
    x = 1,647,405.97/1,537.17
  6. Step 6: Final answer
    x = 1,071.71

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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.