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Finding the Fourth Proportional to 2,436.09, 3,654.86 and 876.03

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Solution

The fourth proportional to 2,436.09, 3,654.86 and 876.03 is: 1,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.09 : 3,654.86 = 876.03 : x
  2. Step 2: Convert to fraction form
    2,436.09/3,654.86 = 876.03/x
  3. Step 3: Cross multiply
    2,436.09x = 3,654.86 × 876.03
  4. Step 4: Simplify right side
    2,436.09x = 3,201,762.63
  5. Step 5: Solve for x
    x = 3,201,762.63/2,436.09
  6. Step 6: Final answer
    x = 1,314.30

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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.