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Finding the Fourth Proportional to 2,208.44, 3,313.14 and 802.52

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Solution

The fourth proportional to 2,208.44, 3,313.14 and 802.52 is: 1,203.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.44 : 3,313.14 = 802.52 : x
  2. Step 2: Convert to fraction form
    2,208.44/3,313.14 = 802.52/x
  3. Step 3: Cross multiply
    2,208.44x = 3,313.14 × 802.52
  4. Step 4: Simplify right side
    2,208.44x = 2,658,861.11
  5. Step 5: Solve for x
    x = 2,658,861.11/2,208.44
  6. Step 6: Final answer
    x = 1,203.95

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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.