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Finding the Fourth Proportional to 2,681.71, 3,697.14 and 2,281.77

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Solution

The fourth proportional to 2,681.71, 3,697.14 and 2,281.77 is: 3,145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.71 : 3,697.14 = 2,281.77 : x
  2. Step 2: Convert to fraction form
    2,681.71/3,697.14 = 2,281.77/x
  3. Step 3: Cross multiply
    2,681.71x = 3,697.14 × 2,281.77
  4. Step 4: Simplify right side
    2,681.71x = 8,436,031.69
  5. Step 5: Solve for x
    x = 8,436,031.69/2,681.71
  6. Step 6: Final answer
    x = 3,145.77

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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.