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Finding the Fourth Proportional to 2,159.40, 3,237.12 and 697.80

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Solution

The fourth proportional to 2,159.40, 3,237.12 and 697.80 is: 1,046.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.40 : 3,237.12 = 697.80 : x
  2. Step 2: Convert to fraction form
    2,159.40/3,237.12 = 697.80/x
  3. Step 3: Cross multiply
    2,159.40x = 3,237.12 × 697.80
  4. Step 4: Simplify right side
    2,159.40x = 2,258,862.34
  5. Step 5: Solve for x
    x = 2,258,862.34/2,159.40
  6. Step 6: Final answer
    x = 1,046.06

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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.