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Finding the Fourth Proportional to 2,814.55, 3,862.64 and 2,590.99

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Solution

The fourth proportional to 2,814.55, 3,862.64 and 2,590.99 is: 3,555.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.55 : 3,862.64 = 2,590.99 : x
  2. Step 2: Convert to fraction form
    2,814.55/3,862.64 = 2,590.99/x
  3. Step 3: Cross multiply
    2,814.55x = 3,862.64 × 2,590.99
  4. Step 4: Simplify right side
    2,814.55x = 10,008,043.86
  5. Step 5: Solve for x
    x = 10,008,043.86/2,814.55
  6. Step 6: Final answer
    x = 3,555.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.