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Finding the Fourth Proportional to 1,621.78, 2,432.66 and 511.29

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Solution

The fourth proportional to 1,621.78, 2,432.66 and 511.29 is: 766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.78 : 2,432.66 = 511.29 : x
  2. Step 2: Convert to fraction form
    1,621.78/2,432.66 = 511.29/x
  3. Step 3: Cross multiply
    1,621.78x = 2,432.66 × 511.29
  4. Step 4: Simplify right side
    1,621.78x = 1,243,780.01
  5. Step 5: Solve for x
    x = 1,243,780.01/1,621.78
  6. Step 6: Final answer
    x = 766.93

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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.