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Finding the Fourth Proportional to 3,402.95, 4,693.65 and 2,077.38

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Solution

The fourth proportional to 3,402.95, 4,693.65 and 2,077.38 is: 2,865.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.95 : 4,693.65 = 2,077.38 : x
  2. Step 2: Convert to fraction form
    3,402.95/4,693.65 = 2,077.38/x
  3. Step 3: Cross multiply
    3,402.95x = 4,693.65 × 2,077.38
  4. Step 4: Simplify right side
    3,402.95x = 9,750,486.85
  5. Step 5: Solve for x
    x = 9,750,486.85/3,402.95
  6. Step 6: Final answer
    x = 2,865.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.