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Finding the Fourth Proportional to 2,879.95, 4,319.93 and 932.11

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Solution

The fourth proportional to 2,879.95, 4,319.93 and 932.11 is: 1,398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.95 : 4,319.93 = 932.11 : x
  2. Step 2: Convert to fraction form
    2,879.95/4,319.93 = 932.11/x
  3. Step 3: Cross multiply
    2,879.95x = 4,319.93 × 932.11
  4. Step 4: Simplify right side
    2,879.95x = 4,026,623.69
  5. Step 5: Solve for x
    x = 4,026,623.69/2,879.95
  6. Step 6: Final answer
    x = 1,398.16

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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.