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Finding the Fourth Proportional to 4,281.52, 6,422.50 and 1,203.76

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Solution

The fourth proportional to 4,281.52, 6,422.50 and 1,203.76 is: 1,805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281.52 : 6,422.50 = 1,203.76 : x
  2. Step 2: Convert to fraction form
    4,281.52/6,422.50 = 1,203.76/x
  3. Step 3: Cross multiply
    4,281.52x = 6,422.50 × 1,203.76
  4. Step 4: Simplify right side
    4,281.52x = 7,731,148.60
  5. Step 5: Solve for x
    x = 7,731,148.60/4,281.52
  6. Step 6: Final answer
    x = 1,805.70

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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.