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Finding the Fourth Proportional to 2,101.67, 3,152.22 and 714.95

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Solution

The fourth proportional to 2,101.67, 3,152.22 and 714.95 is: 1,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.67 : 3,152.22 = 714.95 : x
  2. Step 2: Convert to fraction form
    2,101.67/3,152.22 = 714.95/x
  3. Step 3: Cross multiply
    2,101.67x = 3,152.22 × 714.95
  4. Step 4: Simplify right side
    2,101.67x = 2,253,663.93
  5. Step 5: Solve for x
    x = 2,253,663.93/2,101.67
  6. Step 6: Final answer
    x = 1,072.32

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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.