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Finding the Fourth Proportional to 3,102.83, 4,278.71 and 2,159.69

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Solution

The fourth proportional to 3,102.83, 4,278.71 and 2,159.69 is: 2,978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.83 : 4,278.71 = 2,159.69 : x
  2. Step 2: Convert to fraction form
    3,102.83/4,278.71 = 2,159.69/x
  3. Step 3: Cross multiply
    3,102.83x = 4,278.71 × 2,159.69
  4. Step 4: Simplify right side
    3,102.83x = 9,240,676.40
  5. Step 5: Solve for x
    x = 9,240,676.40/3,102.83
  6. Step 6: Final answer
    x = 2,978.15

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