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Finding the Fourth Proportional to 1,546.51, 2,319.06 and 922.10

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Solution

The fourth proportional to 1,546.51, 2,319.06 and 922.10 is: 1,382.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.51 : 2,319.06 = 922.10 : x
  2. Step 2: Convert to fraction form
    1,546.51/2,319.06 = 922.10/x
  3. Step 3: Cross multiply
    1,546.51x = 2,319.06 × 922.10
  4. Step 4: Simplify right side
    1,546.51x = 2,138,405.79
  5. Step 5: Solve for x
    x = 2,138,405.79/1,546.51
  6. Step 6: Final answer
    x = 1,382.73

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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.