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Finding the Fourth Proportional to 3,057.78, 4,588.50 and 1,326.41

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Solution

The fourth proportional to 3,057.78, 4,588.50 and 1,326.41 is: 1,990.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.78 : 4,588.50 = 1,326.41 : x
  2. Step 2: Convert to fraction form
    3,057.78/4,588.50 = 1,326.41/x
  3. Step 3: Cross multiply
    3,057.78x = 4,588.50 × 1,326.41
  4. Step 4: Simplify right side
    3,057.78x = 6,086,209.34
  5. Step 5: Solve for x
    x = 6,086,209.34/3,057.78
  6. Step 6: Final answer
    x = 1,990.40

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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.