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Finding the Fourth Proportional to 2,702.95, 3,730.08 and 1,524.03

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Solution

The fourth proportional to 2,702.95, 3,730.08 and 1,524.03 is: 2,103.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.95 : 3,730.08 = 1,524.03 : x
  2. Step 2: Convert to fraction form
    2,702.95/3,730.08 = 1,524.03/x
  3. Step 3: Cross multiply
    2,702.95x = 3,730.08 × 1,524.03
  4. Step 4: Simplify right side
    2,702.95x = 5,684,766.53
  5. Step 5: Solve for x
    x = 5,684,766.53/2,702.95
  6. Step 6: Final answer
    x = 2,103.17

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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.