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Finding the Fourth Proportional to 2,280.59, 3,423.72 and 2,270.06

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Solution

The fourth proportional to 2,280.59, 3,423.72 and 2,270.06 is: 3,407.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.59 : 3,423.72 = 2,270.06 : x
  2. Step 2: Convert to fraction form
    2,280.59/3,423.72 = 2,270.06/x
  3. Step 3: Cross multiply
    2,280.59x = 3,423.72 × 2,270.06
  4. Step 4: Simplify right side
    2,280.59x = 7,772,049.82
  5. Step 5: Solve for x
    x = 7,772,049.82/2,280.59
  6. Step 6: Final answer
    x = 3,407.91

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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.