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Finding the Fourth Proportional to 1,823.57, 2,735.69 and 590.85

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Solution

The fourth proportional to 1,823.57, 2,735.69 and 590.85 is: 886.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.57 : 2,735.69 = 590.85 : x
  2. Step 2: Convert to fraction form
    1,823.57/2,735.69 = 590.85/x
  3. Step 3: Cross multiply
    1,823.57x = 2,735.69 × 590.85
  4. Step 4: Simplify right side
    1,823.57x = 1,616,382.44
  5. Step 5: Solve for x
    x = 1,616,382.44/1,823.57
  6. Step 6: Final answer
    x = 886.38

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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.