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Finding the Fourth Proportional to 3,114.06, 4,670.55 and 922.20

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Solution

The fourth proportional to 3,114.06, 4,670.55 and 922.20 is: 1,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.06 : 4,670.55 = 922.20 : x
  2. Step 2: Convert to fraction form
    3,114.06/4,670.55 = 922.20/x
  3. Step 3: Cross multiply
    3,114.06x = 4,670.55 × 922.20
  4. Step 4: Simplify right side
    3,114.06x = 4,307,181.21
  5. Step 5: Solve for x
    x = 4,307,181.21/3,114.06
  6. Step 6: Final answer
    x = 1,383.14

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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.