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Finding the Fourth Proportional to 2,361.76, 3,542.76 and 900.64

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Solution

The fourth proportional to 2,361.76, 3,542.76 and 900.64 is: 1,351.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.76 : 3,542.76 = 900.64 : x
  2. Step 2: Convert to fraction form
    2,361.76/3,542.76 = 900.64/x
  3. Step 3: Cross multiply
    2,361.76x = 3,542.76 × 900.64
  4. Step 4: Simplify right side
    2,361.76x = 3,190,751.37
  5. Step 5: Solve for x
    x = 3,190,751.37/2,361.76
  6. Step 6: Final answer
    x = 1,351.01

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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.