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Finding the Fourth Proportional to 2,225.84, 3,071.50 and 1,231.13

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Solution

The fourth proportional to 2,225.84, 3,071.50 and 1,231.13 is: 1,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.84 : 3,071.50 = 1,231.13 : x
  2. Step 2: Convert to fraction form
    2,225.84/3,071.50 = 1,231.13/x
  3. Step 3: Cross multiply
    2,225.84x = 3,071.50 × 1,231.13
  4. Step 4: Simplify right side
    2,225.84x = 3,781,415.80
  5. Step 5: Solve for x
    x = 3,781,415.80/2,225.84
  6. Step 6: Final answer
    x = 1,698.87

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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.