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Finding the Fourth Proportional to 2,099.66, 2,890.50 and 1,574.78

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Solution

The fourth proportional to 2,099.66, 2,890.50 and 1,574.78 is: 2,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.66 : 2,890.50 = 1,574.78 : x
  2. Step 2: Convert to fraction form
    2,099.66/2,890.50 = 1,574.78/x
  3. Step 3: Cross multiply
    2,099.66x = 2,890.50 × 1,574.78
  4. Step 4: Simplify right side
    2,099.66x = 4,551,901.59
  5. Step 5: Solve for x
    x = 4,551,901.59/2,099.66
  6. Step 6: Final answer
    x = 2,167.92

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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.