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Finding the Fourth Proportional to 2,393.48, 3,568.74 and 2,302.05

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Solution

The fourth proportional to 2,393.48, 3,568.74 and 2,302.05 is: 3,432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.48 : 3,568.74 = 2,302.05 : x
  2. Step 2: Convert to fraction form
    2,393.48/3,568.74 = 2,302.05/x
  3. Step 3: Cross multiply
    2,393.48x = 3,568.74 × 2,302.05
  4. Step 4: Simplify right side
    2,393.48x = 8,215,417.92
  5. Step 5: Solve for x
    x = 8,215,417.92/2,393.48
  6. Step 6: Final answer
    x = 3,432.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.