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Finding the Fourth Proportional to 2,626.40, 3,623.40 and 2,294.84

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Solution

The fourth proportional to 2,626.40, 3,623.40 and 2,294.84 is: 3,165.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.40 : 3,623.40 = 2,294.84 : x
  2. Step 2: Convert to fraction form
    2,626.40/3,623.40 = 2,294.84/x
  3. Step 3: Cross multiply
    2,626.40x = 3,623.40 × 2,294.84
  4. Step 4: Simplify right side
    2,626.40x = 8,315,123.26
  5. Step 5: Solve for x
    x = 8,315,123.26/2,626.40
  6. Step 6: Final answer
    x = 3,165.98

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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.