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Finding the Fourth Proportional to 2,767.71, 4,160.68 and 2,564.81

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Solution

The fourth proportional to 2,767.71, 4,160.68 and 2,564.81 is: 3,855.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.71 : 4,160.68 = 2,564.81 : x
  2. Step 2: Convert to fraction form
    2,767.71/4,160.68 = 2,564.81/x
  3. Step 3: Cross multiply
    2,767.71x = 4,160.68 × 2,564.81
  4. Step 4: Simplify right side
    2,767.71x = 10,671,353.67
  5. Step 5: Solve for x
    x = 10,671,353.67/2,767.71
  6. Step 6: Final answer
    x = 3,855.66

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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.