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Finding the Fourth Proportional to 3,002.34, 4,502.94 and 921.77

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Solution

The fourth proportional to 3,002.34, 4,502.94 and 921.77 is: 1,382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.34 : 4,502.94 = 921.77 : x
  2. Step 2: Convert to fraction form
    3,002.34/4,502.94 = 921.77/x
  3. Step 3: Cross multiply
    3,002.34x = 4,502.94 × 921.77
  4. Step 4: Simplify right side
    3,002.34x = 4,150,664.77
  5. Step 5: Solve for x
    x = 4,150,664.77/3,002.34
  6. Step 6: Final answer
    x = 1,382.48

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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.