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Finding the Fourth Proportional to 1,680.09, 2,521.14 and 585.22

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Solution

The fourth proportional to 1,680.09, 2,521.14 and 585.22 is: 878.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.09 : 2,521.14 = 585.22 : x
  2. Step 2: Convert to fraction form
    1,680.09/2,521.14 = 585.22/x
  3. Step 3: Cross multiply
    1,680.09x = 2,521.14 × 585.22
  4. Step 4: Simplify right side
    1,680.09x = 1,475,413.78
  5. Step 5: Solve for x
    x = 1,475,413.78/1,680.09
  6. Step 6: Final answer
    x = 878.18

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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.