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Finding the Fourth Proportional to 4,282.52, 6,424 and 1,204.76

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Solution

The fourth proportional to 4,282.52, 6,424 and 1,204.76 is: 1,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.52 : 6,424 = 1,204.76 : x
  2. Step 2: Convert to fraction form
    4,282.52/6,424 = 1,204.76/x
  3. Step 3: Cross multiply
    4,282.52x = 6,424 × 1,204.76
  4. Step 4: Simplify right side
    4,282.52x = 7,739,378.24
  5. Step 5: Solve for x
    x = 7,739,378.24/4,282.52
  6. Step 6: Final answer
    x = 1,807.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.