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Finding the Fourth Proportional to 2,159.40, 3,238.80 and 698.76

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Solution

The fourth proportional to 2,159.40, 3,238.80 and 698.76 is: 1,048.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.40 : 3,238.80 = 698.76 : x
  2. Step 2: Convert to fraction form
    2,159.40/3,238.80 = 698.76/x
  3. Step 3: Cross multiply
    2,159.40x = 3,238.80 × 698.76
  4. Step 4: Simplify right side
    2,159.40x = 2,263,143.89
  5. Step 5: Solve for x
    x = 2,263,143.89/2,159.40
  6. Step 6: Final answer
    x = 1,048.04

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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.