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Finding the Fourth Proportional to 3,126.76, 4,314.78 and 1,782.66

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Solution

The fourth proportional to 3,126.76, 4,314.78 and 1,782.66 is: 2,459.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.76 : 4,314.78 = 1,782.66 : x
  2. Step 2: Convert to fraction form
    3,126.76/4,314.78 = 1,782.66/x
  3. Step 3: Cross multiply
    3,126.76x = 4,314.78 × 1,782.66
  4. Step 4: Simplify right side
    3,126.76x = 7,691,785.71
  5. Step 5: Solve for x
    x = 7,691,785.71/3,126.76
  6. Step 6: Final answer
    x = 2,459.99

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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.