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Finding the Fourth Proportional to 2,041.65, 3,062.46 and 580.61

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Solution

The fourth proportional to 2,041.65, 3,062.46 and 580.61 is: 870.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.65 : 3,062.46 = 580.61 : x
  2. Step 2: Convert to fraction form
    2,041.65/3,062.46 = 580.61/x
  3. Step 3: Cross multiply
    2,041.65x = 3,062.46 × 580.61
  4. Step 4: Simplify right side
    2,041.65x = 1,778,092.00
  5. Step 5: Solve for x
    x = 1,778,092.00/2,041.65
  6. Step 6: Final answer
    x = 870.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.