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Finding the Fourth Proportional to 1,584.90, 2,187.32 and 876.80

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Solution

The fourth proportional to 1,584.90, 2,187.32 and 876.80 is: 1,210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.90 : 2,187.32 = 876.80 : x
  2. Step 2: Convert to fraction form
    1,584.90/2,187.32 = 876.80/x
  3. Step 3: Cross multiply
    1,584.90x = 2,187.32 × 876.80
  4. Step 4: Simplify right side
    1,584.90x = 1,917,833.43
  5. Step 5: Solve for x
    x = 1,917,833.43/1,584.90
  6. Step 6: Final answer
    x = 1,210.07

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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.