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Finding the Fourth Proportional to 2,709.74, 3,739.38 and 1,514.74

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Solution

The fourth proportional to 2,709.74, 3,739.38 and 1,514.74 is: 2,090.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.74 : 3,739.38 = 1,514.74 : x
  2. Step 2: Convert to fraction form
    2,709.74/3,739.38 = 1,514.74/x
  3. Step 3: Cross multiply
    2,709.74x = 3,739.38 × 1,514.74
  4. Step 4: Simplify right side
    2,709.74x = 5,664,188.46
  5. Step 5: Solve for x
    x = 5,664,188.46/2,709.74
  6. Step 6: Final answer
    x = 2,090.31

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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.