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Finding the Fourth Proportional to 3,112.34, 4,669.50 and 921.08

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Solution

The fourth proportional to 3,112.34, 4,669.50 and 921.08 is: 1,381.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.34 : 4,669.50 = 921.08 : x
  2. Step 2: Convert to fraction form
    3,112.34/4,669.50 = 921.08/x
  3. Step 3: Cross multiply
    3,112.34x = 4,669.50 × 921.08
  4. Step 4: Simplify right side
    3,112.34x = 4,300,983.06
  5. Step 5: Solve for x
    x = 4,300,983.06/3,112.34
  6. Step 6: Final answer
    x = 1,381.91

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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.