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Finding the Fourth Proportional to 3,102.04, 4,652.34 and 910.18

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Solution

The fourth proportional to 3,102.04, 4,652.34 and 910.18 is: 1,365.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.04 : 4,652.34 = 910.18 : x
  2. Step 2: Convert to fraction form
    3,102.04/4,652.34 = 910.18/x
  3. Step 3: Cross multiply
    3,102.04x = 4,652.34 × 910.18
  4. Step 4: Simplify right side
    3,102.04x = 4,234,466.82
  5. Step 5: Solve for x
    x = 4,234,466.82/3,102.04
  6. Step 6: Final answer
    x = 1,365.06

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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.