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Finding the Fourth Proportional to 2,225.69, 3,071.46 and 1,230.97

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Solution

The fourth proportional to 2,225.69, 3,071.46 and 1,230.97 is: 1,698.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.69 : 3,071.46 = 1,230.97 : x
  2. Step 2: Convert to fraction form
    2,225.69/3,071.46 = 1,230.97/x
  3. Step 3: Cross multiply
    2,225.69x = 3,071.46 × 1,230.97
  4. Step 4: Simplify right side
    2,225.69x = 3,780,875.12
  5. Step 5: Solve for x
    x = 3,780,875.12/2,225.69
  6. Step 6: Final answer
    x = 1,698.74

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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.