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Finding the Fourth Proportional to 2,226.12, 3,071.02 and 1,440.42

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Solution

The fourth proportional to 2,226.12, 3,071.02 and 1,440.42 is: 1,987.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.12 : 3,071.02 = 1,440.42 : x
  2. Step 2: Convert to fraction form
    2,226.12/3,071.02 = 1,440.42/x
  3. Step 3: Cross multiply
    2,226.12x = 3,071.02 × 1,440.42
  4. Step 4: Simplify right side
    2,226.12x = 4,423,558.63
  5. Step 5: Solve for x
    x = 4,423,558.63/2,226.12
  6. Step 6: Final answer
    x = 1,987.12

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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.