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Finding the Fourth Proportional to 3,113.16, 4,669.26 and 921.43

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Solution

The fourth proportional to 3,113.16, 4,669.26 and 921.43 is: 1,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.16 : 4,669.26 = 921.43 : x
  2. Step 2: Convert to fraction form
    3,113.16/4,669.26 = 921.43/x
  3. Step 3: Cross multiply
    3,113.16x = 4,669.26 × 921.43
  4. Step 4: Simplify right side
    3,113.16x = 4,302,396.24
  5. Step 5: Solve for x
    x = 4,302,396.24/3,113.16
  6. Step 6: Final answer
    x = 1,382.00

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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.