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Finding the Fourth Proportional to 2,937.37, 4,406.12 and 1,182.55

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Solution

The fourth proportional to 2,937.37, 4,406.12 and 1,182.55 is: 1,773.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.37 : 4,406.12 = 1,182.55 : x
  2. Step 2: Convert to fraction form
    2,937.37/4,406.12 = 1,182.55/x
  3. Step 3: Cross multiply
    2,937.37x = 4,406.12 × 1,182.55
  4. Step 4: Simplify right side
    2,937.37x = 5,210,457.21
  5. Step 5: Solve for x
    x = 5,210,457.21/2,937.37
  6. Step 6: Final answer
    x = 1,773.85

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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.