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Finding the Fourth Proportional to 2,084.69, 2,859.91 and 2,030.21

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Solution

The fourth proportional to 2,084.69, 2,859.91 and 2,030.21 is: 2,785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.69 : 2,859.91 = 2,030.21 : x
  2. Step 2: Convert to fraction form
    2,084.69/2,859.91 = 2,030.21/x
  3. Step 3: Cross multiply
    2,084.69x = 2,859.91 × 2,030.21
  4. Step 4: Simplify right side
    2,084.69x = 5,806,225.32
  5. Step 5: Solve for x
    x = 5,806,225.32/2,084.69
  6. Step 6: Final answer
    x = 2,785.18

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.