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Finding the Fourth Proportional to 1,482.15, 2,046.11 and 922.80

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Solution

The fourth proportional to 1,482.15, 2,046.11 and 922.80 is: 1,273.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.15 : 2,046.11 = 922.80 : x
  2. Step 2: Convert to fraction form
    1,482.15/2,046.11 = 922.80/x
  3. Step 3: Cross multiply
    1,482.15x = 2,046.11 × 922.80
  4. Step 4: Simplify right side
    1,482.15x = 1,888,150.31
  5. Step 5: Solve for x
    x = 1,888,150.31/1,482.15
  6. Step 6: Final answer
    x = 1,273.93

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Why These Related Problems?

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