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Finding the Fourth Proportional to 2,702.13, 3,728.95 and 1,523.22

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Solution

The fourth proportional to 2,702.13, 3,728.95 and 1,523.22 is: 2,102.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.13 : 3,728.95 = 1,523.22 : x
  2. Step 2: Convert to fraction form
    2,702.13/3,728.95 = 1,523.22/x
  3. Step 3: Cross multiply
    2,702.13x = 3,728.95 × 1,523.22
  4. Step 4: Simplify right side
    2,702.13x = 5,680,011.22
  5. Step 5: Solve for x
    x = 5,680,011.22/2,702.13
  6. Step 6: Final answer
    x = 2,102.05

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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.