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Finding the Fourth Proportional to 2,749.64, 4,125.16 and 801.84

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Solution

The fourth proportional to 2,749.64, 4,125.16 and 801.84 is: 1,202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.64 : 4,125.16 = 801.84 : x
  2. Step 2: Convert to fraction form
    2,749.64/4,125.16 = 801.84/x
  3. Step 3: Cross multiply
    2,749.64x = 4,125.16 × 801.84
  4. Step 4: Simplify right side
    2,749.64x = 3,307,718.29
  5. Step 5: Solve for x
    x = 3,307,718.29/2,749.64
  6. Step 6: Final answer
    x = 1,202.96

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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.