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Finding the Fourth Proportional to 2,749.95, 4,126.95 and 1,711.46

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Solution

The fourth proportional to 2,749.95, 4,126.95 and 1,711.46 is: 2,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.95 : 4,126.95 = 1,711.46 : x
  2. Step 2: Convert to fraction form
    2,749.95/4,126.95 = 1,711.46/x
  3. Step 3: Cross multiply
    2,749.95x = 4,126.95 × 1,711.46
  4. Step 4: Simplify right side
    2,749.95x = 7,063,120.16
  5. Step 5: Solve for x
    x = 7,063,120.16/2,749.95
  6. Step 6: Final answer
    x = 2,568.45

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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.