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Finding the Fourth Proportional to 1,658.83, 2,488.65 and 879.61

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Solution

The fourth proportional to 1,658.83, 2,488.65 and 879.61 is: 1,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.83 : 2,488.65 = 879.61 : x
  2. Step 2: Convert to fraction form
    1,658.83/2,488.65 = 879.61/x
  3. Step 3: Cross multiply
    1,658.83x = 2,488.65 × 879.61
  4. Step 4: Simplify right side
    1,658.83x = 2,189,041.43
  5. Step 5: Solve for x
    x = 2,189,041.43/1,658.83
  6. Step 6: Final answer
    x = 1,319.63

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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.