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Finding the Fourth Proportional to 2,040.80, 3,061.06 and 580.10

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Solution

The fourth proportional to 2,040.80, 3,061.06 and 580.10 is: 870.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.80 : 3,061.06 = 580.10 : x
  2. Step 2: Convert to fraction form
    2,040.80/3,061.06 = 580.10/x
  3. Step 3: Cross multiply
    2,040.80x = 3,061.06 × 580.10
  4. Step 4: Simplify right side
    2,040.80x = 1,775,720.91
  5. Step 5: Solve for x
    x = 1,775,720.91/2,040.80
  6. Step 6: Final answer
    x = 870.11

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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.