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Finding the Fourth Proportional to 2,361.95, 3,542.92 and 974.32

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Solution

The fourth proportional to 2,361.95, 3,542.92 and 974.32 is: 1,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.95 : 3,542.92 = 974.32 : x
  2. Step 2: Convert to fraction form
    2,361.95/3,542.92 = 974.32/x
  3. Step 3: Cross multiply
    2,361.95x = 3,542.92 × 974.32
  4. Step 4: Simplify right side
    2,361.95x = 3,451,937.81
  5. Step 5: Solve for x
    x = 3,451,937.81/2,361.95
  6. Step 6: Final answer
    x = 1,461.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.