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Finding the Fourth Proportional to 2,582.68, 3,567 and 2,000.26

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Solution

The fourth proportional to 2,582.68, 3,567 and 2,000.26 is: 2,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.68 : 3,567 = 2,000.26 : x
  2. Step 2: Convert to fraction form
    2,582.68/3,567 = 2,000.26/x
  3. Step 3: Cross multiply
    2,582.68x = 3,567 × 2,000.26
  4. Step 4: Simplify right side
    2,582.68x = 7,134,927.42
  5. Step 5: Solve for x
    x = 7,134,927.42/2,582.68
  6. Step 6: Final answer
    x = 2,762.61

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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.