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Finding the Fourth Proportional to 1,618.91, 2,228.70 and 1,544.52

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Solution

The fourth proportional to 1,618.91, 2,228.70 and 1,544.52 is: 2,126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.91 : 2,228.70 = 1,544.52 : x
  2. Step 2: Convert to fraction form
    1,618.91/2,228.70 = 1,544.52/x
  3. Step 3: Cross multiply
    1,618.91x = 2,228.70 × 1,544.52
  4. Step 4: Simplify right side
    1,618.91x = 3,442,274.29
  5. Step 5: Solve for x
    x = 3,442,274.29/1,618.91
  6. Step 6: Final answer
    x = 2,126.29

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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.