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Finding the Fourth Proportional to 2,436.22, 3,654.66 and 875.91

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Solution

The fourth proportional to 2,436.22, 3,654.66 and 875.91 is: 1,313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.22 : 3,654.66 = 875.91 : x
  2. Step 2: Convert to fraction form
    2,436.22/3,654.66 = 875.91/x
  3. Step 3: Cross multiply
    2,436.22x = 3,654.66 × 875.91
  4. Step 4: Simplify right side
    2,436.22x = 3,201,153.24
  5. Step 5: Solve for x
    x = 3,201,153.24/2,436.22
  6. Step 6: Final answer
    x = 1,313.98

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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.