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Finding the Fourth Proportional to 2,253.44, 3,380.40 and 714.08

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Solution

The fourth proportional to 2,253.44, 3,380.40 and 714.08 is: 1,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.44 : 3,380.40 = 714.08 : x
  2. Step 2: Convert to fraction form
    2,253.44/3,380.40 = 714.08/x
  3. Step 3: Cross multiply
    2,253.44x = 3,380.40 × 714.08
  4. Step 4: Simplify right side
    2,253.44x = 2,413,876.03
  5. Step 5: Solve for x
    x = 2,413,876.03/2,253.44
  6. Step 6: Final answer
    x = 1,071.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.