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Finding the Fourth Proportional to 2,384.73, 3,577.22 and 741.51

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Solution

The fourth proportional to 2,384.73, 3,577.22 and 741.51 is: 1,112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.73 : 3,577.22 = 741.51 : x
  2. Step 2: Convert to fraction form
    2,384.73/3,577.22 = 741.51/x
  3. Step 3: Cross multiply
    2,384.73x = 3,577.22 × 741.51
  4. Step 4: Simplify right side
    2,384.73x = 2,652,544.40
  5. Step 5: Solve for x
    x = 2,652,544.40/2,384.73
  6. Step 6: Final answer
    x = 1,112.30

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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.