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Finding the Fourth Proportional to 1,680.12, 2,520.18 and 510.12

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Solution

The fourth proportional to 1,680.12, 2,520.18 and 510.12 is: 765.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.12 : 2,520.18 = 510.12 : x
  2. Step 2: Convert to fraction form
    1,680.12/2,520.18 = 510.12/x
  3. Step 3: Cross multiply
    1,680.12x = 2,520.18 × 510.12
  4. Step 4: Simplify right side
    1,680.12x = 1,285,594.22
  5. Step 5: Solve for x
    x = 1,285,594.22/1,680.12
  6. Step 6: Final answer
    x = 765.18

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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.