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Finding the Fourth Proportional to 2,361.84, 3,539.67 and 973.56

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Solution

The fourth proportional to 2,361.84, 3,539.67 and 973.56 is: 1,459.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.84 : 3,539.67 = 973.56 : x
  2. Step 2: Convert to fraction form
    2,361.84/3,539.67 = 973.56/x
  3. Step 3: Cross multiply
    2,361.84x = 3,539.67 × 973.56
  4. Step 4: Simplify right side
    2,361.84x = 3,446,081.13
  5. Step 5: Solve for x
    x = 3,446,081.13/2,361.84
  6. Step 6: Final answer
    x = 1,459.07

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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.