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Finding the Fourth Proportional to 2,280.59, 3,420.76 and 699.30

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Solution

The fourth proportional to 2,280.59, 3,420.76 and 699.30 is: 1,048.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.59 : 3,420.76 = 699.30 : x
  2. Step 2: Convert to fraction form
    2,280.59/3,420.76 = 699.30/x
  3. Step 3: Cross multiply
    2,280.59x = 3,420.76 × 699.30
  4. Step 4: Simplify right side
    2,280.59x = 2,392,133.97
  5. Step 5: Solve for x
    x = 2,392,133.97/2,280.59
  6. Step 6: Final answer
    x = 1,048.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.