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Finding the Fourth Proportional to 3,138.90, 4,703.50 and 1,288.46

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Solution

The fourth proportional to 3,138.90, 4,703.50 and 1,288.46 is: 1,930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.90 : 4,703.50 = 1,288.46 : x
  2. Step 2: Convert to fraction form
    3,138.90/4,703.50 = 1,288.46/x
  3. Step 3: Cross multiply
    3,138.90x = 4,703.50 × 1,288.46
  4. Step 4: Simplify right side
    3,138.90x = 6,060,271.61
  5. Step 5: Solve for x
    x = 6,060,271.61/3,138.90
  6. Step 6: Final answer
    x = 1,930.70

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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.