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Finding the Fourth Proportional to 2,280, 3,415.80 and 2,034.02

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Solution

The fourth proportional to 2,280, 3,415.80 and 2,034.02 is: 3,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280 : 3,415.80 = 2,034.02 : x
  2. Step 2: Convert to fraction form
    2,280/3,415.80 = 2,034.02/x
  3. Step 3: Cross multiply
    2,280x = 3,415.80 × 2,034.02
  4. Step 4: Simplify right side
    2,280x = 6,947,805.52
  5. Step 5: Solve for x
    x = 6,947,805.52/2,280
  6. Step 6: Final answer
    x = 3,047.28

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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.