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Finding the Fourth Proportional to 2,867.34, 4,300.92 and 815.34

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Solution

The fourth proportional to 2,867.34, 4,300.92 and 815.34 is: 1,222.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.34 : 4,300.92 = 815.34 : x
  2. Step 2: Convert to fraction form
    2,867.34/4,300.92 = 815.34/x
  3. Step 3: Cross multiply
    2,867.34x = 4,300.92 × 815.34
  4. Step 4: Simplify right side
    2,867.34x = 3,506,712.11
  5. Step 5: Solve for x
    x = 3,506,712.11/2,867.34
  6. Step 6: Final answer
    x = 1,222.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.