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Finding the Fourth Proportional to 2,534.76, 3,498.81 and 1,974.39

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Solution

The fourth proportional to 2,534.76, 3,498.81 and 1,974.39 is: 2,725.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.76 : 3,498.81 = 1,974.39 : x
  2. Step 2: Convert to fraction form
    2,534.76/3,498.81 = 1,974.39/x
  3. Step 3: Cross multiply
    2,534.76x = 3,498.81 × 1,974.39
  4. Step 4: Simplify right side
    2,534.76x = 6,908,015.48
  5. Step 5: Solve for x
    x = 6,908,015.48/2,534.76
  6. Step 6: Final answer
    x = 2,725.31

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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.