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Finding the Fourth Proportional to 2,361.37, 3,539.05 and 973.14

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Solution

The fourth proportional to 2,361.37, 3,539.05 and 973.14 is: 1,458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.37 : 3,539.05 = 973.14 : x
  2. Step 2: Convert to fraction form
    2,361.37/3,539.05 = 973.14/x
  3. Step 3: Cross multiply
    2,361.37x = 3,539.05 × 973.14
  4. Step 4: Simplify right side
    2,361.37x = 3,443,991.12
  5. Step 5: Solve for x
    x = 3,443,991.12/2,361.37
  6. Step 6: Final answer
    x = 1,458.47

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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.