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Finding the Fourth Proportional to 1,621.42, 2,432.23 and 646.99

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Solution

The fourth proportional to 1,621.42, 2,432.23 and 646.99 is: 970.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.42 : 2,432.23 = 646.99 : x
  2. Step 2: Convert to fraction form
    1,621.42/2,432.23 = 646.99/x
  3. Step 3: Cross multiply
    1,621.42x = 2,432.23 × 646.99
  4. Step 4: Simplify right side
    1,621.42x = 1,573,620.79
  5. Step 5: Solve for x
    x = 1,573,620.79/1,621.42
  6. Step 6: Final answer
    x = 970.52

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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.