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Finding the Fourth Proportional to 2,041.57, 3,061.44 and 580.38

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Solution

The fourth proportional to 2,041.57, 3,061.44 and 580.38 is: 870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.57 : 3,061.44 = 580.38 : x
  2. Step 2: Convert to fraction form
    2,041.57/3,061.44 = 580.38/x
  3. Step 3: Cross multiply
    2,041.57x = 3,061.44 × 580.38
  4. Step 4: Simplify right side
    2,041.57x = 1,776,787.07
  5. Step 5: Solve for x
    x = 1,776,787.07/2,041.57
  6. Step 6: Final answer
    x = 870.30

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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.