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Finding the Fourth Proportional to 3,113.33, 4,670.89 and 922.10

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Solution

The fourth proportional to 3,113.33, 4,670.89 and 922.10 is: 1,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.33 : 4,670.89 = 922.10 : x
  2. Step 2: Convert to fraction form
    3,113.33/4,670.89 = 922.10/x
  3. Step 3: Cross multiply
    3,113.33x = 4,670.89 × 922.10
  4. Step 4: Simplify right side
    3,113.33x = 4,307,002.01
  5. Step 5: Solve for x
    x = 4,307,002.01/3,113.33
  6. Step 6: Final answer
    x = 1,383.41

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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.