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Finding the Fourth Proportional to 3,113.10, 4,298.22 and 2,119.20

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Solution

The fourth proportional to 3,113.10, 4,298.22 and 2,119.20 is: 2,925.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.10 : 4,298.22 = 2,119.20 : x
  2. Step 2: Convert to fraction form
    3,113.10/4,298.22 = 2,119.20/x
  3. Step 3: Cross multiply
    3,113.10x = 4,298.22 × 2,119.20
  4. Step 4: Simplify right side
    3,113.10x = 9,108,787.82
  5. Step 5: Solve for x
    x = 9,108,787.82/3,113.10
  6. Step 6: Final answer
    x = 2,925.95

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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.