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Finding the Fourth Proportional to 2,101.22, 3,152.24 and 714.20

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Solution

The fourth proportional to 2,101.22, 3,152.24 and 714.20 is: 1,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.22 : 3,152.24 = 714.20 : x
  2. Step 2: Convert to fraction form
    2,101.22/3,152.24 = 714.20/x
  3. Step 3: Cross multiply
    2,101.22x = 3,152.24 × 714.20
  4. Step 4: Simplify right side
    2,101.22x = 2,251,329.81
  5. Step 5: Solve for x
    x = 2,251,329.81/2,101.22
  6. Step 6: Final answer
    x = 1,071.44

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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.