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Finding the Fourth Proportional to 2,702.45, 3,728.28 and 1,655.12

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Solution

The fourth proportional to 2,702.45, 3,728.28 and 1,655.12 is: 2,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.45 : 3,728.28 = 1,655.12 : x
  2. Step 2: Convert to fraction form
    2,702.45/3,728.28 = 1,655.12/x
  3. Step 3: Cross multiply
    2,702.45x = 3,728.28 × 1,655.12
  4. Step 4: Simplify right side
    2,702.45x = 6,170,750.79
  5. Step 5: Solve for x
    x = 6,170,750.79/2,702.45
  6. Step 6: Final answer
    x = 2,283.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.