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Finding the Fourth Proportional to 2,436.56, 3,653.98 and 876.26

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Solution

The fourth proportional to 2,436.56, 3,653.98 and 876.26 is: 1,314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.56 : 3,653.98 = 876.26 : x
  2. Step 2: Convert to fraction form
    2,436.56/3,653.98 = 876.26/x
  3. Step 3: Cross multiply
    2,436.56x = 3,653.98 × 876.26
  4. Step 4: Simplify right side
    2,436.56x = 3,201,843.46
  5. Step 5: Solve for x
    x = 3,201,843.46/2,436.56
  6. Step 6: Final answer
    x = 1,314.08

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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.