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Finding the Fourth Proportional to 2,436.62, 3,647.36 and 1,970.52

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Solution

The fourth proportional to 2,436.62, 3,647.36 and 1,970.52 is: 2,949.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.62 : 3,647.36 = 1,970.52 : x
  2. Step 2: Convert to fraction form
    2,436.62/3,647.36 = 1,970.52/x
  3. Step 3: Cross multiply
    2,436.62x = 3,647.36 × 1,970.52
  4. Step 4: Simplify right side
    2,436.62x = 7,187,195.83
  5. Step 5: Solve for x
    x = 7,187,195.83/2,436.62
  6. Step 6: Final answer
    x = 2,949.66

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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.