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Finding the Fourth Proportional to 2,446.06, 3,667.72 and 802.47

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Solution

The fourth proportional to 2,446.06, 3,667.72 and 802.47 is: 1,203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.06 : 3,667.72 = 802.47 : x
  2. Step 2: Convert to fraction form
    2,446.06/3,667.72 = 802.47/x
  3. Step 3: Cross multiply
    2,446.06x = 3,667.72 × 802.47
  4. Step 4: Simplify right side
    2,446.06x = 2,943,235.27
  5. Step 5: Solve for x
    x = 2,943,235.27/2,446.06
  6. Step 6: Final answer
    x = 1,203.26

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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.