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Finding the Fourth Proportional to 2,101.84, 3,152.94 and 714.72

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Solution

The fourth proportional to 2,101.84, 3,152.94 and 714.72 is: 1,072.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.84 : 3,152.94 = 714.72 : x
  2. Step 2: Convert to fraction form
    2,101.84/3,152.94 = 714.72/x
  3. Step 3: Cross multiply
    2,101.84x = 3,152.94 × 714.72
  4. Step 4: Simplify right side
    2,101.84x = 2,253,469.28
  5. Step 5: Solve for x
    x = 2,253,469.28/2,101.84
  6. Step 6: Final answer
    x = 1,072.14

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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.