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Finding the Fourth Proportional to 3,180.02, 4,390.02 and 2,297.90

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Solution

The fourth proportional to 3,180.02, 4,390.02 and 2,297.90 is: 3,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.02 : 4,390.02 = 2,297.90 : x
  2. Step 2: Convert to fraction form
    3,180.02/4,390.02 = 2,297.90/x
  3. Step 3: Cross multiply
    3,180.02x = 4,390.02 × 2,297.90
  4. Step 4: Simplify right side
    3,180.02x = 10,087,826.96
  5. Step 5: Solve for x
    x = 10,087,826.96/3,180.02
  6. Step 6: Final answer
    x = 3,172.25

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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.