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Finding the Fourth Proportional to 2,279.96, 3,433.76 and 2,023.16

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Solution

The fourth proportional to 2,279.96, 3,433.76 and 2,023.16 is: 3,047.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.96 : 3,433.76 = 2,023.16 : x
  2. Step 2: Convert to fraction form
    2,279.96/3,433.76 = 2,023.16/x
  3. Step 3: Cross multiply
    2,279.96x = 3,433.76 × 2,023.16
  4. Step 4: Simplify right side
    2,279.96x = 6,947,045.88
  5. Step 5: Solve for x
    x = 6,947,045.88/2,279.96
  6. Step 6: Final answer
    x = 3,047.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.