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Finding the Fourth Proportional to 2,046.82, 3,070.37 and 585.94

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Solution

The fourth proportional to 2,046.82, 3,070.37 and 585.94 is: 878.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.82 : 3,070.37 = 585.94 : x
  2. Step 2: Convert to fraction form
    2,046.82/3,070.37 = 585.94/x
  3. Step 3: Cross multiply
    2,046.82x = 3,070.37 × 585.94
  4. Step 4: Simplify right side
    2,046.82x = 1,799,052.60
  5. Step 5: Solve for x
    x = 1,799,052.60/2,046.82
  6. Step 6: Final answer
    x = 878.95

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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.