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Finding the Fourth Proportional to 2,894, 3,994.26 and 1,652

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Solution

The fourth proportional to 2,894, 3,994.26 and 1,652 is: 2,280.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894 : 3,994.26 = 1,652 : x
  2. Step 2: Convert to fraction form
    2,894/3,994.26 = 1,652/x
  3. Step 3: Cross multiply
    2,894x = 3,994.26 × 1,652
  4. Step 4: Simplify right side
    2,894x = 6,598,517.52
  5. Step 5: Solve for x
    x = 6,598,517.52/2,894
  6. Step 6: Final answer
    x = 2,280.07

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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.