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Finding the Fourth Proportional to 2,361.85, 3,542.16 and 975.58

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Solution

The fourth proportional to 2,361.85, 3,542.16 and 975.58 is: 1,463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.85 : 3,542.16 = 975.58 : x
  2. Step 2: Convert to fraction form
    2,361.85/3,542.16 = 975.58/x
  3. Step 3: Cross multiply
    2,361.85x = 3,542.16 × 975.58
  4. Step 4: Simplify right side
    2,361.85x = 3,455,642.74
  5. Step 5: Solve for x
    x = 3,455,642.74/2,361.85
  6. Step 6: Final answer
    x = 1,463.11

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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.