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Finding the Fourth Proportional to 1,679.72, 2,518.30 and 802.18

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Solution

The fourth proportional to 1,679.72, 2,518.30 and 802.18 is: 1,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.72 : 2,518.30 = 802.18 : x
  2. Step 2: Convert to fraction form
    1,679.72/2,518.30 = 802.18/x
  3. Step 3: Cross multiply
    1,679.72x = 2,518.30 × 802.18
  4. Step 4: Simplify right side
    1,679.72x = 2,020,138.95
  5. Step 5: Solve for x
    x = 2,020,138.95/1,679.72
  6. Step 6: Final answer
    x = 1,202.67

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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.