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Finding the Fourth Proportional to 1,823.87, 2,514.03 and 1,233.38

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Solution

The fourth proportional to 1,823.87, 2,514.03 and 1,233.38 is: 1,700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.87 : 2,514.03 = 1,233.38 : x
  2. Step 2: Convert to fraction form
    1,823.87/2,514.03 = 1,233.38/x
  3. Step 3: Cross multiply
    1,823.87x = 2,514.03 × 1,233.38
  4. Step 4: Simplify right side
    1,823.87x = 3,100,754.32
  5. Step 5: Solve for x
    x = 3,100,754.32/1,823.87
  6. Step 6: Final answer
    x = 1,700.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.