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Finding the Fourth Proportional to 2,199.99, 3,035.84 and 1,291.80

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Solution

The fourth proportional to 2,199.99, 3,035.84 and 1,291.80 is: 1,782.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.99 : 3,035.84 = 1,291.80 : x
  2. Step 2: Convert to fraction form
    2,199.99/3,035.84 = 1,291.80/x
  3. Step 3: Cross multiply
    2,199.99x = 3,035.84 × 1,291.80
  4. Step 4: Simplify right side
    2,199.99x = 3,921,691.65
  5. Step 5: Solve for x
    x = 3,921,691.65/2,199.99
  6. Step 6: Final answer
    x = 1,782.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.