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Finding the Fourth Proportional to 3,114.84, 4,296.24 and 2,118.40

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Solution

The fourth proportional to 3,114.84, 4,296.24 and 2,118.40 is: 2,921.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.84 : 4,296.24 = 2,118.40 : x
  2. Step 2: Convert to fraction form
    3,114.84/4,296.24 = 2,118.40/x
  3. Step 3: Cross multiply
    3,114.84x = 4,296.24 × 2,118.40
  4. Step 4: Simplify right side
    3,114.84x = 9,101,154.82
  5. Step 5: Solve for x
    x = 9,101,154.82/3,114.84
  6. Step 6: Final answer
    x = 2,921.87

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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.