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Finding the Fourth Proportional to 2,526.48, 3,786.48 and 2,040.48

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Solution

The fourth proportional to 2,526.48, 3,786.48 and 2,040.48 is: 3,058.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.48 : 3,786.48 = 2,040.48 : x
  2. Step 2: Convert to fraction form
    2,526.48/3,786.48 = 2,040.48/x
  3. Step 3: Cross multiply
    2,526.48x = 3,786.48 × 2,040.48
  4. Step 4: Simplify right side
    2,526.48x = 7,726,236.71
  5. Step 5: Solve for x
    x = 7,726,236.71/2,526.48
  6. Step 6: Final answer
    x = 3,058.10

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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.