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Finding the Fourth Proportional to 2,433.78, 3,652.16 and 1,876.32

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Solution

The fourth proportional to 2,433.78, 3,652.16 and 1,876.32 is: 2,815.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.78 : 3,652.16 = 1,876.32 : x
  2. Step 2: Convert to fraction form
    2,433.78/3,652.16 = 1,876.32/x
  3. Step 3: Cross multiply
    2,433.78x = 3,652.16 × 1,876.32
  4. Step 4: Simplify right side
    2,433.78x = 6,852,611.47
  5. Step 5: Solve for x
    x = 6,852,611.47/2,433.78
  6. Step 6: Final answer
    x = 2,815.62

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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.