Home / 2,057.10-3,084.84-740.49

Finding the Fourth Proportional to 2,057.10, 3,084.84 and 740.49

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Solution

The fourth proportional to 2,057.10, 3,084.84 and 740.49 is: 1,110.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.10 : 3,084.84 = 740.49 : x
  2. Step 2: Convert to fraction form
    2,057.10/3,084.84 = 740.49/x
  3. Step 3: Cross multiply
    2,057.10x = 3,084.84 × 740.49
  4. Step 4: Simplify right side
    2,057.10x = 2,284,293.17
  5. Step 5: Solve for x
    x = 2,284,293.17/2,057.10
  6. Step 6: Final answer
    x = 1,110.44

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1.5x scale

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.