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Finding the Fourth Proportional to 3,133.50, 4,702.08 and 1,402.20

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Solution

The fourth proportional to 3,133.50, 4,702.08 and 1,402.20 is: 2,104.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.50 : 4,702.08 = 1,402.20 : x
  2. Step 2: Convert to fraction form
    3,133.50/4,702.08 = 1,402.20/x
  3. Step 3: Cross multiply
    3,133.50x = 4,702.08 × 1,402.20
  4. Step 4: Simplify right side
    3,133.50x = 6,593,256.58
  5. Step 5: Solve for x
    x = 6,593,256.58/3,133.50
  6. Step 6: Final answer
    x = 2,104.12

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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.