Home / 1,680.21-2,518.49-705.18

Finding the Fourth Proportional to 1,680.21, 2,518.49 and 705.18

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Solution

The fourth proportional to 1,680.21, 2,518.49 and 705.18 is: 1,057.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.21 : 2,518.49 = 705.18 : x
  2. Step 2: Convert to fraction form
    1,680.21/2,518.49 = 705.18/x
  3. Step 3: Cross multiply
    1,680.21x = 2,518.49 × 705.18
  4. Step 4: Simplify right side
    1,680.21x = 1,775,988.78
  5. Step 5: Solve for x
    x = 1,775,988.78/1,680.21
  6. Step 6: Final answer
    x = 1,057.00

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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.