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Finding the Fourth Proportional to 1,921.16, 2,883.78 and 947.94

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Solution

The fourth proportional to 1,921.16, 2,883.78 and 947.94 is: 1,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.16 : 2,883.78 = 947.94 : x
  2. Step 2: Convert to fraction form
    1,921.16/2,883.78 = 947.94/x
  3. Step 3: Cross multiply
    1,921.16x = 2,883.78 × 947.94
  4. Step 4: Simplify right side
    1,921.16x = 2,733,650.41
  5. Step 5: Solve for x
    x = 2,733,650.41/1,921.16
  6. Step 6: Final answer
    x = 1,422.92

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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.