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Finding the Fourth Proportional to 2,842.29, 4,266 and 1,804.17

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Solution

The fourth proportional to 2,842.29, 4,266 and 1,804.17 is: 2,707.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.29 : 4,266 = 1,804.17 : x
  2. Step 2: Convert to fraction form
    2,842.29/4,266 = 1,804.17/x
  3. Step 3: Cross multiply
    2,842.29x = 4,266 × 1,804.17
  4. Step 4: Simplify right side
    2,842.29x = 7,696,605.22
  5. Step 5: Solve for x
    x = 7,696,605.22/2,842.29
  6. Step 6: Final answer
    x = 2,707.89

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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.