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Finding the Fourth Proportional to 2,276.40, 3,151.80 and 2,233.20

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Solution

The fourth proportional to 2,276.40, 3,151.80 and 2,233.20 is: 3,091.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.40 : 3,151.80 = 2,233.20 : x
  2. Step 2: Convert to fraction form
    2,276.40/3,151.80 = 2,233.20/x
  3. Step 3: Cross multiply
    2,276.40x = 3,151.80 × 2,233.20
  4. Step 4: Simplify right side
    2,276.40x = 7,038,599.76
  5. Step 5: Solve for x
    x = 7,038,599.76/2,276.40
  6. Step 6: Final answer
    x = 3,091.99

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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.