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Finding the Fourth Proportional to 2,384.44, 3,577.01 and 741.02

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Solution

The fourth proportional to 2,384.44, 3,577.01 and 741.02 is: 1,111.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.44 : 3,577.01 = 741.02 : x
  2. Step 2: Convert to fraction form
    2,384.44/3,577.01 = 741.02/x
  3. Step 3: Cross multiply
    2,384.44x = 3,577.01 × 741.02
  4. Step 4: Simplify right side
    2,384.44x = 2,650,614.36
  5. Step 5: Solve for x
    x = 2,650,614.36/2,384.44
  6. Step 6: Final answer
    x = 1,111.63

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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.