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Finding the Fourth Proportional to 2,926.40, 4,351.94 and 2,834.10

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Solution

The fourth proportional to 2,926.40, 4,351.94 and 2,834.10 is: 4,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,926.40 : 4,351.94 = 2,834.10 : x
  2. Step 2: Convert to fraction form
    2,926.40/4,351.94 = 2,834.10/x
  3. Step 3: Cross multiply
    2,926.40x = 4,351.94 × 2,834.10
  4. Step 4: Simplify right side
    2,926.40x = 12,333,833.15
  5. Step 5: Solve for x
    x = 12,333,833.15/2,926.40
  6. Step 6: Final answer
    x = 4,214.68

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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.