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Finding the Fourth Proportional to 2,159.16, 3,238.94 and 698.36

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Solution

The fourth proportional to 2,159.16, 3,238.94 and 698.36 is: 1,047.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.16 : 3,238.94 = 698.36 : x
  2. Step 2: Convert to fraction form
    2,159.16/3,238.94 = 698.36/x
  3. Step 3: Cross multiply
    2,159.16x = 3,238.94 × 698.36
  4. Step 4: Simplify right side
    2,159.16x = 2,261,946.14
  5. Step 5: Solve for x
    x = 2,261,946.14/2,159.16
  6. Step 6: Final answer
    x = 1,047.60

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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.