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Finding the Fourth Proportional to 2,853, 3,934.98 and 1,970.28

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Solution

The fourth proportional to 2,853, 3,934.98 and 1,970.28 is: 2,717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853 : 3,934.98 = 1,970.28 : x
  2. Step 2: Convert to fraction form
    2,853/3,934.98 = 1,970.28/x
  3. Step 3: Cross multiply
    2,853x = 3,934.98 × 1,970.28
  4. Step 4: Simplify right side
    2,853x = 7,753,012.39
  5. Step 5: Solve for x
    x = 7,753,012.39/2,853
  6. Step 6: Final answer
    x = 2,717.49

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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.