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Finding the Fourth Proportional to 1,585.73, 2,187.77 and 922.02

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Solution

The fourth proportional to 1,585.73, 2,187.77 and 922.02 is: 1,272.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.73 : 2,187.77 = 922.02 : x
  2. Step 2: Convert to fraction form
    1,585.73/2,187.77 = 922.02/x
  3. Step 3: Cross multiply
    1,585.73x = 2,187.77 × 922.02
  4. Step 4: Simplify right side
    1,585.73x = 2,017,163.09
  5. Step 5: Solve for x
    x = 2,017,163.09/1,585.73
  6. Step 6: Final answer
    x = 1,272.08

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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.