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Finding the Fourth Proportional to 2,402.84, 3,314.84 and 2,107.20

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Solution

The fourth proportional to 2,402.84, 3,314.84 and 2,107.20 is: 2,906.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.84 : 3,314.84 = 2,107.20 : x
  2. Step 2: Convert to fraction form
    2,402.84/3,314.84 = 2,107.20/x
  3. Step 3: Cross multiply
    2,402.84x = 3,314.84 × 2,107.20
  4. Step 4: Simplify right side
    2,402.84x = 6,985,030.85
  5. Step 5: Solve for x
    x = 6,985,030.85/2,402.84
  6. Step 6: Final answer
    x = 2,906.99

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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.