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Finding the Fourth Proportional to 3,010.53, 4,154.25 and 1,683.95

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Solution

The fourth proportional to 3,010.53, 4,154.25 and 1,683.95 is: 2,323.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.53 : 4,154.25 = 1,683.95 : x
  2. Step 2: Convert to fraction form
    3,010.53/4,154.25 = 1,683.95/x
  3. Step 3: Cross multiply
    3,010.53x = 4,154.25 × 1,683.95
  4. Step 4: Simplify right side
    3,010.53x = 6,995,540.87
  5. Step 5: Solve for x
    x = 6,995,540.87/3,010.53
  6. Step 6: Final answer
    x = 2,323.69

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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.