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Finding the Fourth Proportional to 2,142.70, 2,952.84 and 1,478.34

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Solution

The fourth proportional to 2,142.70, 2,952.84 and 1,478.34 is: 2,037.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.70 : 2,952.84 = 1,478.34 : x
  2. Step 2: Convert to fraction form
    2,142.70/2,952.84 = 1,478.34/x
  3. Step 3: Cross multiply
    2,142.70x = 2,952.84 × 1,478.34
  4. Step 4: Simplify right side
    2,142.70x = 4,365,301.49
  5. Step 5: Solve for x
    x = 4,365,301.49/2,142.70
  6. Step 6: Final answer
    x = 2,037.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.