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Finding the Fourth Proportional to 2,040.09, 3,058.43 and 945.24

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Solution

The fourth proportional to 2,040.09, 3,058.43 and 945.24 is: 1,417.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.09 : 3,058.43 = 945.24 : x
  2. Step 2: Convert to fraction form
    2,040.09/3,058.43 = 945.24/x
  3. Step 3: Cross multiply
    2,040.09x = 3,058.43 × 945.24
  4. Step 4: Simplify right side
    2,040.09x = 2,890,934.18
  5. Step 5: Solve for x
    x = 2,890,934.18/2,040.09
  6. Step 6: Final answer
    x = 1,417.06

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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.