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Finding the Fourth Proportional to 1,621.62, 2,432.19 and 646.77

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Solution

The fourth proportional to 1,621.62, 2,432.19 and 646.77 is: 970.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.62 : 2,432.19 = 646.77 : x
  2. Step 2: Convert to fraction form
    1,621.62/2,432.19 = 646.77/x
  3. Step 3: Cross multiply
    1,621.62x = 2,432.19 × 646.77
  4. Step 4: Simplify right side
    1,621.62x = 1,573,067.53
  5. Step 5: Solve for x
    x = 1,573,067.53/1,621.62
  6. Step 6: Final answer
    x = 970.06

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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.