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Finding the Fourth Proportional to 2,159.17, 3,230.70 and 1,808.80

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Solution

The fourth proportional to 2,159.17, 3,230.70 and 1,808.80 is: 2,706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.17 : 3,230.70 = 1,808.80 : x
  2. Step 2: Convert to fraction form
    2,159.17/3,230.70 = 1,808.80/x
  3. Step 3: Cross multiply
    2,159.17x = 3,230.70 × 1,808.80
  4. Step 4: Simplify right side
    2,159.17x = 5,843,690.16
  5. Step 5: Solve for x
    x = 5,843,690.16/2,159.17
  6. Step 6: Final answer
    x = 2,706.45

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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.