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Finding the Fourth Proportional to 2,395.74, 3,306.51 and 2,002.62

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Solution

The fourth proportional to 2,395.74, 3,306.51 and 2,002.62 is: 2,763.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.74 : 3,306.51 = 2,002.62 : x
  2. Step 2: Convert to fraction form
    2,395.74/3,306.51 = 2,002.62/x
  3. Step 3: Cross multiply
    2,395.74x = 3,306.51 × 2,002.62
  4. Step 4: Simplify right side
    2,395.74x = 6,621,683.06
  5. Step 5: Solve for x
    x = 6,621,683.06/2,395.74
  6. Step 6: Final answer
    x = 2,763.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.