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Finding the Fourth Proportional to 2,074.02, 3,111.02 and 613.18

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Solution

The fourth proportional to 2,074.02, 3,111.02 and 613.18 is: 919.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.02 : 3,111.02 = 613.18 : x
  2. Step 2: Convert to fraction form
    2,074.02/3,111.02 = 613.18/x
  3. Step 3: Cross multiply
    2,074.02x = 3,111.02 × 613.18
  4. Step 4: Simplify right side
    2,074.02x = 1,907,615.24
  5. Step 5: Solve for x
    x = 1,907,615.24/2,074.02
  6. Step 6: Final answer
    x = 919.77

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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.