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Finding the Fourth Proportional to 2,126.60, 3,189.56 and 587.24

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Solution

The fourth proportional to 2,126.60, 3,189.56 and 587.24 is: 880.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.60 : 3,189.56 = 587.24 : x
  2. Step 2: Convert to fraction form
    2,126.60/3,189.56 = 587.24/x
  3. Step 3: Cross multiply
    2,126.60x = 3,189.56 × 587.24
  4. Step 4: Simplify right side
    2,126.60x = 1,873,037.21
  5. Step 5: Solve for x
    x = 1,873,037.21/2,126.60
  6. Step 6: Final answer
    x = 880.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.