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Finding the Fourth Proportional to 2,446.30, 3,669.84 and 802.45

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Solution

The fourth proportional to 2,446.30, 3,669.84 and 802.45 is: 1,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.30 : 3,669.84 = 802.45 : x
  2. Step 2: Convert to fraction form
    2,446.30/3,669.84 = 802.45/x
  3. Step 3: Cross multiply
    2,446.30x = 3,669.84 × 802.45
  4. Step 4: Simplify right side
    2,446.30x = 2,944,859.10
  5. Step 5: Solve for x
    x = 2,944,859.10/2,446.30
  6. Step 6: Final answer
    x = 1,203.80

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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.