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Finding the Fourth Proportional to 1,585.23, 2,187.99 and 922.19

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Solution

The fourth proportional to 1,585.23, 2,187.99 and 922.19 is: 1,272.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.23 : 2,187.99 = 922.19 : x
  2. Step 2: Convert to fraction form
    1,585.23/2,187.99 = 922.19/x
  3. Step 3: Cross multiply
    1,585.23x = 2,187.99 × 922.19
  4. Step 4: Simplify right side
    1,585.23x = 2,017,731.56
  5. Step 5: Solve for x
    x = 2,017,731.56/1,585.23
  6. Step 6: Final answer
    x = 1,272.83

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1.5x scale

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.