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Finding the Fourth Proportional to 2,384.58, 3,577.20 and 741.27

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Solution

The fourth proportional to 2,384.58, 3,577.20 and 741.27 is: 1,112.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.58 : 3,577.20 = 741.27 : x
  2. Step 2: Convert to fraction form
    2,384.58/3,577.20 = 741.27/x
  3. Step 3: Cross multiply
    2,384.58x = 3,577.20 × 741.27
  4. Step 4: Simplify right side
    2,384.58x = 2,651,671.04
  5. Step 5: Solve for x
    x = 2,651,671.04/2,384.58
  6. Step 6: Final answer
    x = 1,112.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.