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Finding the Fourth Proportional to 2,073.70, 2,860.44 and 1,233.84

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Solution

The fourth proportional to 2,073.70, 2,860.44 and 1,233.84 is: 1,701.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.70 : 2,860.44 = 1,233.84 : x
  2. Step 2: Convert to fraction form
    2,073.70/2,860.44 = 1,233.84/x
  3. Step 3: Cross multiply
    2,073.70x = 2,860.44 × 1,233.84
  4. Step 4: Simplify right side
    2,073.70x = 3,529,325.29
  5. Step 5: Solve for x
    x = 3,529,325.29/2,073.70
  6. Step 6: Final answer
    x = 1,701.95

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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.