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Finding the Fourth Proportional to 2,436.18, 3,652.44 and 976.35

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Solution

The fourth proportional to 2,436.18, 3,652.44 and 976.35 is: 1,463.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.18 : 3,652.44 = 976.35 : x
  2. Step 2: Convert to fraction form
    2,436.18/3,652.44 = 976.35/x
  3. Step 3: Cross multiply
    2,436.18x = 3,652.44 × 976.35
  4. Step 4: Simplify right side
    2,436.18x = 3,566,059.79
  5. Step 5: Solve for x
    x = 3,566,059.79/2,436.18
  6. Step 6: Final answer
    x = 1,463.79

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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.