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Finding the Fourth Proportional to 2,919.50, 4,030.74 and 2,255.12

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Solution

The fourth proportional to 2,919.50, 4,030.74 and 2,255.12 is: 3,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.50 : 4,030.74 = 2,255.12 : x
  2. Step 2: Convert to fraction form
    2,919.50/4,030.74 = 2,255.12/x
  3. Step 3: Cross multiply
    2,919.50x = 4,030.74 × 2,255.12
  4. Step 4: Simplify right side
    2,919.50x = 9,089,802.39
  5. Step 5: Solve for x
    x = 9,089,802.39/2,919.50
  6. Step 6: Final answer
    x = 3,113.48

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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.