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Finding the Fourth Proportional to 2,178.53, 3,006.84 and 1,339.95

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Solution

The fourth proportional to 2,178.53, 3,006.84 and 1,339.95 is: 1,849.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.53 : 3,006.84 = 1,339.95 : x
  2. Step 2: Convert to fraction form
    2,178.53/3,006.84 = 1,339.95/x
  3. Step 3: Cross multiply
    2,178.53x = 3,006.84 × 1,339.95
  4. Step 4: Simplify right side
    2,178.53x = 4,029,015.26
  5. Step 5: Solve for x
    x = 4,029,015.26/2,178.53
  6. Step 6: Final answer
    x = 1,849.42

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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.