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Finding the Fourth Proportional to 1,630.47, 2,444.54 and 764.31

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Solution

The fourth proportional to 1,630.47, 2,444.54 and 764.31 is: 1,145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.47 : 2,444.54 = 764.31 : x
  2. Step 2: Convert to fraction form
    1,630.47/2,444.54 = 764.31/x
  3. Step 3: Cross multiply
    1,630.47x = 2,444.54 × 764.31
  4. Step 4: Simplify right side
    1,630.47x = 1,868,382.55
  5. Step 5: Solve for x
    x = 1,868,382.55/1,630.47
  6. Step 6: Final answer
    x = 1,145.92

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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.