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Finding the Fourth Proportional to 2,436, 3,651.57 and 1,340.88

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Solution

The fourth proportional to 2,436, 3,651.57 and 1,340.88 is: 2,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436 : 3,651.57 = 1,340.88 : x
  2. Step 2: Convert to fraction form
    2,436/3,651.57 = 1,340.88/x
  3. Step 3: Cross multiply
    2,436x = 3,651.57 × 1,340.88
  4. Step 4: Simplify right side
    2,436x = 4,896,317.18
  5. Step 5: Solve for x
    x = 4,896,317.18/2,436
  6. Step 6: Final answer
    x = 2,009.98

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Why These Related Problems?

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