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Finding the Fourth Proportional to 2,834.89, 4,233.22 and 2,315.91

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Solution

The fourth proportional to 2,834.89, 4,233.22 and 2,315.91 is: 3,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.89 : 4,233.22 = 2,315.91 : x
  2. Step 2: Convert to fraction form
    2,834.89/4,233.22 = 2,315.91/x
  3. Step 3: Cross multiply
    2,834.89x = 4,233.22 × 2,315.91
  4. Step 4: Simplify right side
    2,834.89x = 9,803,756.53
  5. Step 5: Solve for x
    x = 9,803,756.53/2,834.89
  6. Step 6: Final answer
    x = 3,458.25

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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.