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Finding the Fourth Proportional to 1,384.60, 1,908.46 and 1,122.16

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Solution

The fourth proportional to 1,384.60, 1,908.46 and 1,122.16 is: 1,546.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.60 : 1,908.46 = 1,122.16 : x
  2. Step 2: Convert to fraction form
    1,384.60/1,908.46 = 1,122.16/x
  3. Step 3: Cross multiply
    1,384.60x = 1,908.46 × 1,122.16
  4. Step 4: Simplify right side
    1,384.60x = 2,141,597.47
  5. Step 5: Solve for x
    x = 2,141,597.47/1,384.60
  6. Step 6: Final answer
    x = 1,546.73

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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.