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Finding the Fourth Proportional to 1,584.82, 2,187.06 and 876.68

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Solution

The fourth proportional to 1,584.82, 2,187.06 and 876.68 is: 1,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.82 : 2,187.06 = 876.68 : x
  2. Step 2: Convert to fraction form
    1,584.82/2,187.06 = 876.68/x
  3. Step 3: Cross multiply
    1,584.82x = 2,187.06 × 876.68
  4. Step 4: Simplify right side
    1,584.82x = 1,917,351.76
  5. Step 5: Solve for x
    x = 1,917,351.76/1,584.82
  6. Step 6: Final answer
    x = 1,209.82

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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.