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Finding the Fourth Proportional to 3,465.68, 4,782.92 and 1,974.06

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Solution

The fourth proportional to 3,465.68, 4,782.92 and 1,974.06 is: 2,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.68 : 4,782.92 = 1,974.06 : x
  2. Step 2: Convert to fraction form
    3,465.68/4,782.92 = 1,974.06/x
  3. Step 3: Cross multiply
    3,465.68x = 4,782.92 × 1,974.06
  4. Step 4: Simplify right side
    3,465.68x = 9,441,761.18
  5. Step 5: Solve for x
    x = 9,441,761.18/3,465.68
  6. Step 6: Final answer
    x = 2,724.36

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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.