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Finding the Fourth Proportional to 2,534.79, 3,497.77 and 1,738.80

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Solution

The fourth proportional to 2,534.79, 3,497.77 and 1,738.80 is: 2,399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.79 : 3,497.77 = 1,738.80 : x
  2. Step 2: Convert to fraction form
    2,534.79/3,497.77 = 1,738.80/x
  3. Step 3: Cross multiply
    2,534.79x = 3,497.77 × 1,738.80
  4. Step 4: Simplify right side
    2,534.79x = 6,081,922.48
  5. Step 5: Solve for x
    x = 6,081,922.48/2,534.79
  6. Step 6: Final answer
    x = 2,399.38

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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.