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Finding the Fourth Proportional to 1,621.72, 2,432.94 and 841.48

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Solution

The fourth proportional to 1,621.72, 2,432.94 and 841.48 is: 1,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.72 : 2,432.94 = 841.48 : x
  2. Step 2: Convert to fraction form
    1,621.72/2,432.94 = 841.48/x
  3. Step 3: Cross multiply
    1,621.72x = 2,432.94 × 841.48
  4. Step 4: Simplify right side
    1,621.72x = 2,047,270.35
  5. Step 5: Solve for x
    x = 2,047,270.35/1,621.72
  6. Step 6: Final answer
    x = 1,262.41

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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.