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Finding the Fourth Proportional to 1,584.46, 2,186.68 and 876.37

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Solution

The fourth proportional to 1,584.46, 2,186.68 and 876.37 is: 1,209.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.46 : 2,186.68 = 876.37 : x
  2. Step 2: Convert to fraction form
    1,584.46/2,186.68 = 876.37/x
  3. Step 3: Cross multiply
    1,584.46x = 2,186.68 × 876.37
  4. Step 4: Simplify right side
    1,584.46x = 1,916,340.75
  5. Step 5: Solve for x
    x = 1,916,340.75/1,584.46
  6. Step 6: Final answer
    x = 1,209.46

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Half scale
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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.