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Finding the Fourth Proportional to 2,318.24, 3,477.30 and 737.06

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Solution

The fourth proportional to 2,318.24, 3,477.30 and 737.06 is: 1,105.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.24 : 3,477.30 = 737.06 : x
  2. Step 2: Convert to fraction form
    2,318.24/3,477.30 = 737.06/x
  3. Step 3: Cross multiply
    2,318.24x = 3,477.30 × 737.06
  4. Step 4: Simplify right side
    2,318.24x = 2,562,978.74
  5. Step 5: Solve for x
    x = 2,562,978.74/2,318.24
  6. Step 6: Final answer
    x = 1,105.57

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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.