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Finding the Fourth Proportional to 3,113.64, 4,670.19 and 922.26

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Solution

The fourth proportional to 3,113.64, 4,670.19 and 922.26 is: 1,383.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.64 : 4,670.19 = 922.26 : x
  2. Step 2: Convert to fraction form
    3,113.64/4,670.19 = 922.26/x
  3. Step 3: Cross multiply
    3,113.64x = 4,670.19 × 922.26
  4. Step 4: Simplify right side
    3,113.64x = 4,307,129.43
  5. Step 5: Solve for x
    x = 4,307,129.43/3,113.64
  6. Step 6: Final answer
    x = 1,383.31

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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.