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Finding the Fourth Proportional to 2,041.16, 3,061.86 and 580.44

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Solution

The fourth proportional to 2,041.16, 3,061.86 and 580.44 is: 870.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.16 : 3,061.86 = 580.44 : x
  2. Step 2: Convert to fraction form
    2,041.16/3,061.86 = 580.44/x
  3. Step 3: Cross multiply
    2,041.16x = 3,061.86 × 580.44
  4. Step 4: Simplify right side
    2,041.16x = 1,777,226.02
  5. Step 5: Solve for x
    x = 1,777,226.02/2,041.16
  6. Step 6: Final answer
    x = 870.69

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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.