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Finding the Fourth Proportional to 3,009.48, 4,512.57 and 928.92

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Solution

The fourth proportional to 3,009.48, 4,512.57 and 928.92 is: 1,392.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.48 : 4,512.57 = 928.92 : x
  2. Step 2: Convert to fraction form
    3,009.48/4,512.57 = 928.92/x
  3. Step 3: Cross multiply
    3,009.48x = 4,512.57 × 928.92
  4. Step 4: Simplify right side
    3,009.48x = 4,191,816.52
  5. Step 5: Solve for x
    x = 4,191,816.52/3,009.48
  6. Step 6: Final answer
    x = 1,392.87

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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.