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Finding the Fourth Proportional to 2,272.11, 3,404.93 and 1,807.80

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Solution

The fourth proportional to 2,272.11, 3,404.93 and 1,807.80 is: 2,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.11 : 3,404.93 = 1,807.80 : x
  2. Step 2: Convert to fraction form
    2,272.11/3,404.93 = 1,807.80/x
  3. Step 3: Cross multiply
    2,272.11x = 3,404.93 × 1,807.80
  4. Step 4: Simplify right side
    2,272.11x = 6,155,423.42
  5. Step 5: Solve for x
    x = 6,155,423.42/2,272.11
  6. Step 6: Final answer
    x = 2,709.12

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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.