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Finding the Fourth Proportional to 1,584.91, 2,187.06 and 876.75

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Solution

The fourth proportional to 1,584.91, 2,187.06 and 876.75 is: 1,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.91 : 2,187.06 = 876.75 : x
  2. Step 2: Convert to fraction form
    1,584.91/2,187.06 = 876.75/x
  3. Step 3: Cross multiply
    1,584.91x = 2,187.06 × 876.75
  4. Step 4: Simplify right side
    1,584.91x = 1,917,504.86
  5. Step 5: Solve for x
    x = 1,917,504.86/1,584.91
  6. Step 6: Final answer
    x = 1,209.85

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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.