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Finding the Fourth Proportional to 2,698.87, 4,045.29 and 1,138.40

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Solution

The fourth proportional to 2,698.87, 4,045.29 and 1,138.40 is: 1,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.87 : 4,045.29 = 1,138.40 : x
  2. Step 2: Convert to fraction form
    2,698.87/4,045.29 = 1,138.40/x
  3. Step 3: Cross multiply
    2,698.87x = 4,045.29 × 1,138.40
  4. Step 4: Simplify right side
    2,698.87x = 4,605,177.97
  5. Step 5: Solve for x
    x = 4,605,177.97/2,698.87
  6. Step 6: Final answer
    x = 1,706.34

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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.