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Finding the Fourth Proportional to 2,604.61, 3,590.62 and 1,857.27

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Solution

The fourth proportional to 2,604.61, 3,590.62 and 1,857.27 is: 2,560.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.61 : 3,590.62 = 1,857.27 : x
  2. Step 2: Convert to fraction form
    2,604.61/3,590.62 = 1,857.27/x
  3. Step 3: Cross multiply
    2,604.61x = 3,590.62 × 1,857.27
  4. Step 4: Simplify right side
    2,604.61x = 6,668,744.66
  5. Step 5: Solve for x
    x = 6,668,744.66/2,604.61
  6. Step 6: Final answer
    x = 2,560.37

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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.