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Finding the Fourth Proportional to 1,899.09, 2,614.26 and 1,648.95

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Solution

The fourth proportional to 1,899.09, 2,614.26 and 1,648.95 is: 2,269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.09 : 2,614.26 = 1,648.95 : x
  2. Step 2: Convert to fraction form
    1,899.09/2,614.26 = 1,648.95/x
  3. Step 3: Cross multiply
    1,899.09x = 2,614.26 × 1,648.95
  4. Step 4: Simplify right side
    1,899.09x = 4,310,784.03
  5. Step 5: Solve for x
    x = 4,310,784.03/1,899.09
  6. Step 6: Final answer
    x = 2,269.92

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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.