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Finding the Fourth Proportional to 2,379.85, 3,569.84 and 1,838.63

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Solution

The fourth proportional to 2,379.85, 3,569.84 and 1,838.63 is: 2,758.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.85 : 3,569.84 = 1,838.63 : x
  2. Step 2: Convert to fraction form
    2,379.85/3,569.84 = 1,838.63/x
  3. Step 3: Cross multiply
    2,379.85x = 3,569.84 × 1,838.63
  4. Step 4: Simplify right side
    2,379.85x = 6,563,605.73
  5. Step 5: Solve for x
    x = 6,563,605.73/2,379.85
  6. Step 6: Final answer
    x = 2,758.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.