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Finding the Fourth Proportional to 2,586.95, 3,854.74 and 2,461.43

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Solution

The fourth proportional to 2,586.95, 3,854.74 and 2,461.43 is: 3,667.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.95 : 3,854.74 = 2,461.43 : x
  2. Step 2: Convert to fraction form
    2,586.95/3,854.74 = 2,461.43/x
  3. Step 3: Cross multiply
    2,586.95x = 3,854.74 × 2,461.43
  4. Step 4: Simplify right side
    2,586.95x = 9,488,172.68
  5. Step 5: Solve for x
    x = 9,488,172.68/2,586.95
  6. Step 6: Final answer
    x = 3,667.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.