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Finding the Fourth Proportional to 2,199.71, 3,037.94 and 1,494.69

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Solution

The fourth proportional to 2,199.71, 3,037.94 and 1,494.69 is: 2,064.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.71 : 3,037.94 = 1,494.69 : x
  2. Step 2: Convert to fraction form
    2,199.71/3,037.94 = 1,494.69/x
  3. Step 3: Cross multiply
    2,199.71x = 3,037.94 × 1,494.69
  4. Step 4: Simplify right side
    2,199.71x = 4,540,771.07
  5. Step 5: Solve for x
    x = 4,540,771.07/2,199.71
  6. Step 6: Final answer
    x = 2,064.26

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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.