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Finding the Fourth Proportional to 2,879.74, 4,320.69 and 1,148.50

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Solution

The fourth proportional to 2,879.74, 4,320.69 and 1,148.50 is: 1,723.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.74 : 4,320.69 = 1,148.50 : x
  2. Step 2: Convert to fraction form
    2,879.74/4,320.69 = 1,148.50/x
  3. Step 3: Cross multiply
    2,879.74x = 4,320.69 × 1,148.50
  4. Step 4: Simplify right side
    2,879.74x = 4,962,312.47
  5. Step 5: Solve for x
    x = 4,962,312.47/2,879.74
  6. Step 6: Final answer
    x = 1,723.18

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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.