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Finding the Fourth Proportional to 2,432.56, 3,356.10 and 1,384.36

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Solution

The fourth proportional to 2,432.56, 3,356.10 and 1,384.36 is: 1,909.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.56 : 3,356.10 = 1,384.36 : x
  2. Step 2: Convert to fraction form
    2,432.56/3,356.10 = 1,384.36/x
  3. Step 3: Cross multiply
    2,432.56x = 3,356.10 × 1,384.36
  4. Step 4: Simplify right side
    2,432.56x = 4,646,050.60
  5. Step 5: Solve for x
    x = 4,646,050.60/2,432.56
  6. Step 6: Final answer
    x = 1,909.94

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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.