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Finding the Fourth Proportional to 2,446.67, 3,668.63 and 802.77

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Solution

The fourth proportional to 2,446.67, 3,668.63 and 802.77 is: 1,203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.67 : 3,668.63 = 802.77 : x
  2. Step 2: Convert to fraction form
    2,446.67/3,668.63 = 802.77/x
  3. Step 3: Cross multiply
    2,446.67x = 3,668.63 × 802.77
  4. Step 4: Simplify right side
    2,446.67x = 2,945,066.11
  5. Step 5: Solve for x
    x = 2,945,066.11/2,446.67
  6. Step 6: Final answer
    x = 1,203.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.