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Finding the Fourth Proportional to 2,698.77, 4,047.82 and 1,139.40

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Solution

The fourth proportional to 2,698.77, 4,047.82 and 1,139.40 is: 1,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.77 : 4,047.82 = 1,139.40 : x
  2. Step 2: Convert to fraction form
    2,698.77/4,047.82 = 1,139.40/x
  3. Step 3: Cross multiply
    2,698.77x = 4,047.82 × 1,139.40
  4. Step 4: Simplify right side
    2,698.77x = 4,612,086.11
  5. Step 5: Solve for x
    x = 4,612,086.11/2,698.77
  6. Step 6: Final answer
    x = 1,708.96

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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.