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Finding the Fourth Proportional to 2,159.04, 3,238.65 and 698.01

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Solution

The fourth proportional to 2,159.04, 3,238.65 and 698.01 is: 1,047.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.04 : 3,238.65 = 698.01 : x
  2. Step 2: Convert to fraction form
    2,159.04/3,238.65 = 698.01/x
  3. Step 3: Cross multiply
    2,159.04x = 3,238.65 × 698.01
  4. Step 4: Simplify right side
    2,159.04x = 2,260,610.09
  5. Step 5: Solve for x
    x = 2,260,610.09/2,159.04
  6. Step 6: Final answer
    x = 1,047.04

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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.