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Finding the Fourth Proportional to 2,432.81, 3,357.29 and 1,384.88

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Solution

The fourth proportional to 2,432.81, 3,357.29 and 1,384.88 is: 1,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.81 : 3,357.29 = 1,384.88 : x
  2. Step 2: Convert to fraction form
    2,432.81/3,357.29 = 1,384.88/x
  3. Step 3: Cross multiply
    2,432.81x = 3,357.29 × 1,384.88
  4. Step 4: Simplify right side
    2,432.81x = 4,649,420.06
  5. Step 5: Solve for x
    x = 4,649,420.06/2,432.81
  6. Step 6: Final answer
    x = 1,911.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.