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Finding the Fourth Proportional to 1,511.88, 2,266.40 and 588.04

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Solution

The fourth proportional to 1,511.88, 2,266.40 and 588.04 is: 881.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.88 : 2,266.40 = 588.04 : x
  2. Step 2: Convert to fraction form
    1,511.88/2,266.40 = 588.04/x
  3. Step 3: Cross multiply
    1,511.88x = 2,266.40 × 588.04
  4. Step 4: Simplify right side
    1,511.88x = 1,332,733.86
  5. Step 5: Solve for x
    x = 1,332,733.86/1,511.88
  6. Step 6: Final answer
    x = 881.51

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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.