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Finding the Fourth Proportional to 2,937.53, 4,406.30 and 746.19

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Solution

The fourth proportional to 2,937.53, 4,406.30 and 746.19 is: 1,119.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.53 : 4,406.30 = 746.19 : x
  2. Step 2: Convert to fraction form
    2,937.53/4,406.30 = 746.19/x
  3. Step 3: Cross multiply
    2,937.53x = 4,406.30 × 746.19
  4. Step 4: Simplify right side
    2,937.53x = 3,287,933.27
  5. Step 5: Solve for x
    x = 3,287,933.27/2,937.53
  6. Step 6: Final answer
    x = 1,119.29

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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.