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Finding the Fourth Proportional to 1,584.33, 2,186.37 and 876.21

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Solution

The fourth proportional to 1,584.33, 2,186.37 and 876.21 is: 1,209.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.33 : 2,186.37 = 876.21 : x
  2. Step 2: Convert to fraction form
    1,584.33/2,186.37 = 876.21/x
  3. Step 3: Cross multiply
    1,584.33x = 2,186.37 × 876.21
  4. Step 4: Simplify right side
    1,584.33x = 1,915,719.26
  5. Step 5: Solve for x
    x = 1,915,719.26/1,584.33
  6. Step 6: Final answer
    x = 1,209.17

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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.