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Finding the Fourth Proportional to 1,680.68, 2,519.60 and 802.70

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Solution

The fourth proportional to 1,680.68, 2,519.60 and 802.70 is: 1,203.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.68 : 2,519.60 = 802.70 : x
  2. Step 2: Convert to fraction form
    1,680.68/2,519.60 = 802.70/x
  3. Step 3: Cross multiply
    1,680.68x = 2,519.60 × 802.70
  4. Step 4: Simplify right side
    1,680.68x = 2,022,482.92
  5. Step 5: Solve for x
    x = 2,022,482.92/1,680.68
  6. Step 6: Final answer
    x = 1,203.37

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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.