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Finding the Fourth Proportional to 2,790.26, 4,182.47 and 940.74

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Solution

The fourth proportional to 2,790.26, 4,182.47 and 940.74 is: 1,410.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.26 : 4,182.47 = 940.74 : x
  2. Step 2: Convert to fraction form
    2,790.26/4,182.47 = 940.74/x
  3. Step 3: Cross multiply
    2,790.26x = 4,182.47 × 940.74
  4. Step 4: Simplify right side
    2,790.26x = 3,934,619.18
  5. Step 5: Solve for x
    x = 3,934,619.18/2,790.26
  6. Step 6: Final answer
    x = 1,410.13

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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.