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Finding the Fourth Proportional to 1,584.09, 2,186.00 and 866.24

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Solution

The fourth proportional to 1,584.09, 2,186.00 and 866.24 is: 1,195.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.09 : 2,186.00 = 866.24 : x
  2. Step 2: Convert to fraction form
    1,584.09/2,186.00 = 866.24/x
  3. Step 3: Cross multiply
    1,584.09x = 2,186.00 × 866.24
  4. Step 4: Simplify right side
    1,584.09x = 1,893,596.31
  5. Step 5: Solve for x
    x = 1,893,596.31/1,584.09
  6. Step 6: Final answer
    x = 1,195.38

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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.