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Finding the Fourth Proportional to 2,279.50, 3,406.23 and 1,712.95

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Solution

The fourth proportional to 2,279.50, 3,406.23 and 1,712.95 is: 2,559.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.50 : 3,406.23 = 1,712.95 : x
  2. Step 2: Convert to fraction form
    2,279.50/3,406.23 = 1,712.95/x
  3. Step 3: Cross multiply
    2,279.50x = 3,406.23 × 1,712.95
  4. Step 4: Simplify right side
    2,279.50x = 5,834,693.16
  5. Step 5: Solve for x
    x = 5,834,693.16/2,279.50
  6. Step 6: Final answer
    x = 2,559.64

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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.