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Finding the Fourth Proportional to 2,154.66, 3,232.01 and 984.61

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Solution

The fourth proportional to 2,154.66, 3,232.01 and 984.61 is: 1,476.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.66 : 3,232.01 = 984.61 : x
  2. Step 2: Convert to fraction form
    2,154.66/3,232.01 = 984.61/x
  3. Step 3: Cross multiply
    2,154.66x = 3,232.01 × 984.61
  4. Step 4: Simplify right side
    2,154.66x = 3,182,269.37
  5. Step 5: Solve for x
    x = 3,182,269.37/2,154.66
  6. Step 6: Final answer
    x = 1,476.92

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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.