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Finding the Fourth Proportional to 1,758.77, 2,428.12 and 1,313.09

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Solution

The fourth proportional to 1,758.77, 2,428.12 and 1,313.09 is: 1,812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.77 : 2,428.12 = 1,313.09 : x
  2. Step 2: Convert to fraction form
    1,758.77/2,428.12 = 1,313.09/x
  3. Step 3: Cross multiply
    1,758.77x = 2,428.12 × 1,313.09
  4. Step 4: Simplify right side
    1,758.77x = 3,188,340.09
  5. Step 5: Solve for x
    x = 3,188,340.09/1,758.77
  6. Step 6: Final answer
    x = 1,812.82

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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.