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Finding the Fourth Proportional to 2,446.32, 3,669.98 and 802.70

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Solution

The fourth proportional to 2,446.32, 3,669.98 and 802.70 is: 1,204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.32 : 3,669.98 = 802.70 : x
  2. Step 2: Convert to fraction form
    2,446.32/3,669.98 = 802.70/x
  3. Step 3: Cross multiply
    2,446.32x = 3,669.98 × 802.70
  4. Step 4: Simplify right side
    2,446.32x = 2,945,870.58
  5. Step 5: Solve for x
    x = 2,945,870.58/2,446.32
  6. Step 6: Final answer
    x = 1,204.20

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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.