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Finding the Fourth Proportional to 2,778.58, 4,168.59 and 1,047.22

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Solution

The fourth proportional to 2,778.58, 4,168.59 and 1,047.22 is: 1,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.58 : 4,168.59 = 1,047.22 : x
  2. Step 2: Convert to fraction form
    2,778.58/4,168.59 = 1,047.22/x
  3. Step 3: Cross multiply
    2,778.58x = 4,168.59 × 1,047.22
  4. Step 4: Simplify right side
    2,778.58x = 4,365,430.82
  5. Step 5: Solve for x
    x = 4,365,430.82/2,778.58
  6. Step 6: Final answer
    x = 1,571.10

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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.