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Finding the Fourth Proportional to 1,680.98, 2,522.34 and 802.91

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Solution

The fourth proportional to 1,680.98, 2,522.34 and 802.91 is: 1,204.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.98 : 2,522.34 = 802.91 : x
  2. Step 2: Convert to fraction form
    1,680.98/2,522.34 = 802.91/x
  3. Step 3: Cross multiply
    1,680.98x = 2,522.34 × 802.91
  4. Step 4: Simplify right side
    1,680.98x = 2,025,218.32
  5. Step 5: Solve for x
    x = 2,025,218.32/1,680.98
  6. Step 6: Final answer
    x = 1,204.79

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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.