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Finding the Fourth Proportional to 2,040.09, 3,058.63 and 652.62

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Solution

The fourth proportional to 2,040.09, 3,058.63 and 652.62 is: 978.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.09 : 3,058.63 = 652.62 : x
  2. Step 2: Convert to fraction form
    2,040.09/3,058.63 = 652.62/x
  3. Step 3: Cross multiply
    2,040.09x = 3,058.63 × 652.62
  4. Step 4: Simplify right side
    2,040.09x = 1,996,123.11
  5. Step 5: Solve for x
    x = 1,996,123.11/2,040.09
  6. Step 6: Final answer
    x = 978.45

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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.