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Finding the Fourth Proportional to 1,621.48, 2,432.14 and 467.24

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Solution

The fourth proportional to 1,621.48, 2,432.14 and 467.24 is: 700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.48 : 2,432.14 = 467.24 : x
  2. Step 2: Convert to fraction form
    1,621.48/2,432.14 = 467.24/x
  3. Step 3: Cross multiply
    1,621.48x = 2,432.14 × 467.24
  4. Step 4: Simplify right side
    1,621.48x = 1,136,393.09
  5. Step 5: Solve for x
    x = 1,136,393.09/1,621.48
  6. Step 6: Final answer
    x = 700.84

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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.