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Finding the Fourth Proportional to 1,647.62, 2,274.15 and 1,143.51

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Solution

The fourth proportional to 1,647.62, 2,274.15 and 1,143.51 is: 1,578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.62 : 2,274.15 = 1,143.51 : x
  2. Step 2: Convert to fraction form
    1,647.62/2,274.15 = 1,143.51/x
  3. Step 3: Cross multiply
    1,647.62x = 2,274.15 × 1,143.51
  4. Step 4: Simplify right side
    1,647.62x = 2,600,521.79
  5. Step 5: Solve for x
    x = 2,600,521.79/1,647.62
  6. Step 6: Final answer
    x = 1,578.35

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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.