Home / 1,680.10-2,520.15-510.09

Finding the Fourth Proportional to 1,680.10, 2,520.15 and 510.09

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Solution

The fourth proportional to 1,680.10, 2,520.15 and 510.09 is: 765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.10 : 2,520.15 = 510.09 : x
  2. Step 2: Convert to fraction form
    1,680.10/2,520.15 = 510.09/x
  3. Step 3: Cross multiply
    1,680.10x = 2,520.15 × 510.09
  4. Step 4: Simplify right side
    1,680.10x = 1,285,503.31
  5. Step 5: Solve for x
    x = 1,285,503.31/1,680.10
  6. Step 6: Final answer
    x = 765.14

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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.