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Finding the Fourth Proportional to 2,361.62, 3,539.39 and 975.93

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Solution

The fourth proportional to 2,361.62, 3,539.39 and 975.93 is: 1,462.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.62 : 3,539.39 = 975.93 : x
  2. Step 2: Convert to fraction form
    2,361.62/3,539.39 = 975.93/x
  3. Step 3: Cross multiply
    2,361.62x = 3,539.39 × 975.93
  4. Step 4: Simplify right side
    2,361.62x = 3,454,184.22
  5. Step 5: Solve for x
    x = 3,454,184.22/2,361.62
  6. Step 6: Final answer
    x = 1,462.64

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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.