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Finding the Fourth Proportional to 2,586.63, 3,881.77 and 2,002.98

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Solution

The fourth proportional to 2,586.63, 3,881.77 and 2,002.98 is: 3,005.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.63 : 3,881.77 = 2,002.98 : x
  2. Step 2: Convert to fraction form
    2,586.63/3,881.77 = 2,002.98/x
  3. Step 3: Cross multiply
    2,586.63x = 3,881.77 × 2,002.98
  4. Step 4: Simplify right side
    2,586.63x = 7,775,106.66
  5. Step 5: Solve for x
    x = 7,775,106.66/2,586.63
  6. Step 6: Final answer
    x = 3,005.88

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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.