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Finding the Fourth Proportional to 1,889.47, 2,607.53 and 1,143.57

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Solution

The fourth proportional to 1,889.47, 2,607.53 and 1,143.57 is: 1,578.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.47 : 2,607.53 = 1,143.57 : x
  2. Step 2: Convert to fraction form
    1,889.47/2,607.53 = 1,143.57/x
  3. Step 3: Cross multiply
    1,889.47x = 2,607.53 × 1,143.57
  4. Step 4: Simplify right side
    1,889.47x = 2,981,874.33
  5. Step 5: Solve for x
    x = 2,981,874.33/1,889.47
  6. Step 6: Final answer
    x = 1,578.15

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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.