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Finding the Fourth Proportional to 2,346.08, 3,519.92 and 865.76

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Solution

The fourth proportional to 2,346.08, 3,519.92 and 865.76 is: 1,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.08 : 3,519.92 = 865.76 : x
  2. Step 2: Convert to fraction form
    2,346.08/3,519.92 = 865.76/x
  3. Step 3: Cross multiply
    2,346.08x = 3,519.92 × 865.76
  4. Step 4: Simplify right side
    2,346.08x = 3,047,405.94
  5. Step 5: Solve for x
    x = 3,047,405.94/2,346.08
  6. Step 6: Final answer
    x = 1,298.94

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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.