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Finding the Fourth Proportional to 2,225.56, 3,069.76 and 1,439.40

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Solution

The fourth proportional to 2,225.56, 3,069.76 and 1,439.40 is: 1,985.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.56 : 3,069.76 = 1,439.40 : x
  2. Step 2: Convert to fraction form
    2,225.56/3,069.76 = 1,439.40/x
  3. Step 3: Cross multiply
    2,225.56x = 3,069.76 × 1,439.40
  4. Step 4: Simplify right side
    2,225.56x = 4,418,612.54
  5. Step 5: Solve for x
    x = 4,418,612.54/2,225.56
  6. Step 6: Final answer
    x = 1,985.39

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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.