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Finding the Fourth Proportional to 2,768.84, 4,145.16 and 2,397.46

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Solution

The fourth proportional to 2,768.84, 4,145.16 and 2,397.46 is: 3,589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.84 : 4,145.16 = 2,397.46 : x
  2. Step 2: Convert to fraction form
    2,768.84/4,145.16 = 2,397.46/x
  3. Step 3: Cross multiply
    2,768.84x = 4,145.16 × 2,397.46
  4. Step 4: Simplify right side
    2,768.84x = 9,937,855.29
  5. Step 5: Solve for x
    x = 9,937,855.29/2,768.84
  6. Step 6: Final answer
    x = 3,589.18

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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.