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Finding the Fourth Proportional to 1,866.59, 2,794.41 and 1,473.84

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Solution

The fourth proportional to 1,866.59, 2,794.41 and 1,473.84 is: 2,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.59 : 2,794.41 = 1,473.84 : x
  2. Step 2: Convert to fraction form
    1,866.59/2,794.41 = 1,473.84/x
  3. Step 3: Cross multiply
    1,866.59x = 2,794.41 × 1,473.84
  4. Step 4: Simplify right side
    1,866.59x = 4,118,513.23
  5. Step 5: Solve for x
    x = 4,118,513.23/1,866.59
  6. Step 6: Final answer
    x = 2,206.44

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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.