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Finding the Fourth Proportional to 2,443.88, 3,665.47 and 883.66

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Solution

The fourth proportional to 2,443.88, 3,665.47 and 883.66 is: 1,325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.88 : 3,665.47 = 883.66 : x
  2. Step 2: Convert to fraction form
    2,443.88/3,665.47 = 883.66/x
  3. Step 3: Cross multiply
    2,443.88x = 3,665.47 × 883.66
  4. Step 4: Simplify right side
    2,443.88x = 3,239,029.22
  5. Step 5: Solve for x
    x = 3,239,029.22/2,443.88
  6. Step 6: Final answer
    x = 1,325.36

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1.5x scale

Why These Related Problems?

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