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Finding the Fourth Proportional to 3,027.22, 4,176.93 and 1,784.50

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Solution

The fourth proportional to 3,027.22, 4,176.93 and 1,784.50 is: 2,462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.22 : 4,176.93 = 1,784.50 : x
  2. Step 2: Convert to fraction form
    3,027.22/4,176.93 = 1,784.50/x
  3. Step 3: Cross multiply
    3,027.22x = 4,176.93 × 1,784.50
  4. Step 4: Simplify right side
    3,027.22x = 7,453,731.59
  5. Step 5: Solve for x
    x = 7,453,731.59/3,027.22
  6. Step 6: Final answer
    x = 2,462.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.