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Finding the Fourth Proportional to 2,288.64, 3,432.96 and 1,873.45

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Solution

The fourth proportional to 2,288.64, 3,432.96 and 1,873.45 is: 2,810.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.64 : 3,432.96 = 1,873.45 : x
  2. Step 2: Convert to fraction form
    2,288.64/3,432.96 = 1,873.45/x
  3. Step 3: Cross multiply
    2,288.64x = 3,432.96 × 1,873.45
  4. Step 4: Simplify right side
    2,288.64x = 6,431,478.91
  5. Step 5: Solve for x
    x = 6,431,478.91/2,288.64
  6. Step 6: Final answer
    x = 2,810.18

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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.