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Finding the Fourth Proportional to 2,571.49, 3,835.13 and 2,442.70

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Solution

The fourth proportional to 2,571.49, 3,835.13 and 2,442.70 is: 3,643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.49 : 3,835.13 = 2,442.70 : x
  2. Step 2: Convert to fraction form
    2,571.49/3,835.13 = 2,442.70/x
  3. Step 3: Cross multiply
    2,571.49x = 3,835.13 × 2,442.70
  4. Step 4: Simplify right side
    2,571.49x = 9,368,072.05
  5. Step 5: Solve for x
    x = 9,368,072.05/2,571.49
  6. Step 6: Final answer
    x = 3,643.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.