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Finding the Fourth Proportional to 2,046.14, 3,068.86 and 584.95

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Solution

The fourth proportional to 2,046.14, 3,068.86 and 584.95 is: 877.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.14 : 3,068.86 = 584.95 : x
  2. Step 2: Convert to fraction form
    2,046.14/3,068.86 = 584.95/x
  3. Step 3: Cross multiply
    2,046.14x = 3,068.86 × 584.95
  4. Step 4: Simplify right side
    2,046.14x = 1,795,111.39
  5. Step 5: Solve for x
    x = 1,795,111.39/2,046.14
  6. Step 6: Final answer
    x = 877.32

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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.