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Finding the Fourth Proportional to 2,702.04, 4,048.20 and 2,512.50

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Solution

The fourth proportional to 2,702.04, 4,048.20 and 2,512.50 is: 3,764.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.04 : 4,048.20 = 2,512.50 : x
  2. Step 2: Convert to fraction form
    2,702.04/4,048.20 = 2,512.50/x
  3. Step 3: Cross multiply
    2,702.04x = 4,048.20 × 2,512.50
  4. Step 4: Simplify right side
    2,702.04x = 10,171,102.50
  5. Step 5: Solve for x
    x = 10,171,102.50/2,702.04
  6. Step 6: Final answer
    x = 3,764.23

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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.