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Finding the Fourth Proportional to 1,584.96, 2,187.24 and 876.78

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Solution

The fourth proportional to 1,584.96, 2,187.24 and 876.78 is: 1,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.96 : 2,187.24 = 876.78 : x
  2. Step 2: Convert to fraction form
    1,584.96/2,187.24 = 876.78/x
  3. Step 3: Cross multiply
    1,584.96x = 2,187.24 × 876.78
  4. Step 4: Simplify right side
    1,584.96x = 1,917,728.29
  5. Step 5: Solve for x
    x = 1,917,728.29/1,584.96
  6. Step 6: Final answer
    x = 1,209.95

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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.