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Finding the Fourth Proportional to 2,849.48, 4,274.22 and 1,290.23

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Solution

The fourth proportional to 2,849.48, 4,274.22 and 1,290.23 is: 1,935.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.48 : 4,274.22 = 1,290.23 : x
  2. Step 2: Convert to fraction form
    2,849.48/4,274.22 = 1,290.23/x
  3. Step 3: Cross multiply
    2,849.48x = 4,274.22 × 1,290.23
  4. Step 4: Simplify right side
    2,849.48x = 5,514,726.87
  5. Step 5: Solve for x
    x = 5,514,726.87/2,849.48
  6. Step 6: Final answer
    x = 1,935.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.