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Finding the Fourth Proportional to 2,436, 3,652.70 and 1,264.82

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Solution

The fourth proportional to 2,436, 3,652.70 and 1,264.82 is: 1,896.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436 : 3,652.70 = 1,264.82 : x
  2. Step 2: Convert to fraction form
    2,436/3,652.70 = 1,264.82/x
  3. Step 3: Cross multiply
    2,436x = 3,652.70 × 1,264.82
  4. Step 4: Simplify right side
    2,436x = 4,620,001.69
  5. Step 5: Solve for x
    x = 4,620,001.69/2,436
  6. Step 6: Final answer
    x = 1,896.55

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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.