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Finding the Fourth Proportional to 2,447.02, 3,668.91 and 802.99

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Solution

The fourth proportional to 2,447.02, 3,668.91 and 802.99 is: 1,203.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.02 : 3,668.91 = 802.99 : x
  2. Step 2: Convert to fraction form
    2,447.02/3,668.91 = 802.99/x
  3. Step 3: Cross multiply
    2,447.02x = 3,668.91 × 802.99
  4. Step 4: Simplify right side
    2,447.02x = 2,946,098.04
  5. Step 5: Solve for x
    x = 2,946,098.04/2,447.02
  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.