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Finding the Fourth Proportional to 2,957, 4,427.28 and 1,918.20

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Solution

The fourth proportional to 2,957, 4,427.28 and 1,918.20 is: 2,871.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957 : 4,427.28 = 1,918.20 : x
  2. Step 2: Convert to fraction form
    2,957/4,427.28 = 1,918.20/x
  3. Step 3: Cross multiply
    2,957x = 4,427.28 × 1,918.20
  4. Step 4: Simplify right side
    2,957x = 8,492,408.50
  5. Step 5: Solve for x
    x = 8,492,408.50/2,957
  6. Step 6: Final answer
    x = 2,871.97

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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.