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Finding the Fourth Proportional to 2,224.40, 3,069.90 and 1,385.91

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Solution

The fourth proportional to 2,224.40, 3,069.90 and 1,385.91 is: 1,912.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.40 : 3,069.90 = 1,385.91 : x
  2. Step 2: Convert to fraction form
    2,224.40/3,069.90 = 1,385.91/x
  3. Step 3: Cross multiply
    2,224.40x = 3,069.90 × 1,385.91
  4. Step 4: Simplify right side
    2,224.40x = 4,254,605.11
  5. Step 5: Solve for x
    x = 4,254,605.11/2,224.40
  6. Step 6: Final answer
    x = 1,912.70

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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.