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Finding the Fourth Proportional to 2,585.85, 3,564.82 and 1,839.52

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Solution

The fourth proportional to 2,585.85, 3,564.82 and 1,839.52 is: 2,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.85 : 3,564.82 = 1,839.52 : x
  2. Step 2: Convert to fraction form
    2,585.85/3,564.82 = 1,839.52/x
  3. Step 3: Cross multiply
    2,585.85x = 3,564.82 × 1,839.52
  4. Step 4: Simplify right side
    2,585.85x = 6,557,557.69
  5. Step 5: Solve for x
    x = 6,557,557.69/2,585.85
  6. Step 6: Final answer
    x = 2,535.94

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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.