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Finding the Fourth Proportional to 2,361.97, 3,542.01 and 975.52

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Solution

The fourth proportional to 2,361.97, 3,542.01 and 975.52 is: 1,462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.97 : 3,542.01 = 975.52 : x
  2. Step 2: Convert to fraction form
    2,361.97/3,542.01 = 975.52/x
  3. Step 3: Cross multiply
    2,361.97x = 3,542.01 × 975.52
  4. Step 4: Simplify right side
    2,361.97x = 3,455,301.60
  5. Step 5: Solve for x
    x = 3,455,301.60/2,361.97
  6. Step 6: Final answer
    x = 1,462.89

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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.