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Finding the Fourth Proportional to 3,288.44, 4,931.92 and 947.94

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Solution

The fourth proportional to 3,288.44, 4,931.92 and 947.94 is: 1,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.44 : 4,931.92 = 947.94 : x
  2. Step 2: Convert to fraction form
    3,288.44/4,931.92 = 947.94/x
  3. Step 3: Cross multiply
    3,288.44x = 4,931.92 × 947.94
  4. Step 4: Simplify right side
    3,288.44x = 4,675,164.24
  5. Step 5: Solve for x
    x = 4,675,164.24/3,288.44
  6. Step 6: Final answer
    x = 1,421.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.