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Finding the Fourth Proportional to 2,941.52, 4,412.16 and 1,186.02

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Solution

The fourth proportional to 2,941.52, 4,412.16 and 1,186.02 is: 1,778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.52 : 4,412.16 = 1,186.02 : x
  2. Step 2: Convert to fraction form
    2,941.52/4,412.16 = 1,186.02/x
  3. Step 3: Cross multiply
    2,941.52x = 4,412.16 × 1,186.02
  4. Step 4: Simplify right side
    2,941.52x = 5,232,910.00
  5. Step 5: Solve for x
    x = 5,232,910.00/2,941.52
  6. Step 6: Final answer
    x = 1,778.98

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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.