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Finding the Fourth Proportional to 2,945.60, 4,062.24 and 2,014.40

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Solution

The fourth proportional to 2,945.60, 4,062.24 and 2,014.40 is: 2,778.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.60 : 4,062.24 = 2,014.40 : x
  2. Step 2: Convert to fraction form
    2,945.60/4,062.24 = 2,014.40/x
  3. Step 3: Cross multiply
    2,945.60x = 4,062.24 × 2,014.40
  4. Step 4: Simplify right side
    2,945.60x = 8,182,976.26
  5. Step 5: Solve for x
    x = 8,182,976.26/2,945.60
  6. Step 6: Final answer
    x = 2,778.03

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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.