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Finding the Fourth Proportional to 3,133.90, 4,702.20 and 1,594.90

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Solution

The fourth proportional to 3,133.90, 4,702.20 and 1,594.90 is: 2,393.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.90 : 4,702.20 = 1,594.90 : x
  2. Step 2: Convert to fraction form
    3,133.90/4,702.20 = 1,594.90/x
  3. Step 3: Cross multiply
    3,133.90x = 4,702.20 × 1,594.90
  4. Step 4: Simplify right side
    3,133.90x = 7,499,538.78
  5. Step 5: Solve for x
    x = 7,499,538.78/3,133.90
  6. Step 6: Final answer
    x = 2,393.04

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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.