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Finding the Fourth Proportional to 2,785.72, 3,844.44 and 1,543.72

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Solution

The fourth proportional to 2,785.72, 3,844.44 and 1,543.72 is: 2,130.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.72 : 3,844.44 = 1,543.72 : x
  2. Step 2: Convert to fraction form
    2,785.72/3,844.44 = 1,543.72/x
  3. Step 3: Cross multiply
    2,785.72x = 3,844.44 × 1,543.72
  4. Step 4: Simplify right side
    2,785.72x = 5,934,738.92
  5. Step 5: Solve for x
    x = 5,934,738.92/2,785.72
  6. Step 6: Final answer
    x = 2,130.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.