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Finding the Fourth Proportional to 1,585.17, 2,187.71 and 922.03

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Solution

The fourth proportional to 1,585.17, 2,187.71 and 922.03 is: 1,272.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.17 : 2,187.71 = 922.03 : x
  2. Step 2: Convert to fraction form
    1,585.17/2,187.71 = 922.03/x
  3. Step 3: Cross multiply
    1,585.17x = 2,187.71 × 922.03
  4. Step 4: Simplify right side
    1,585.17x = 2,017,139.94
  5. Step 5: Solve for x
    x = 2,017,139.94/1,585.17
  6. Step 6: Final answer
    x = 1,272.51

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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.