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Finding the Fourth Proportional to 1,758.48, 2,635.25 and 1,366.69

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Solution

The fourth proportional to 1,758.48, 2,635.25 and 1,366.69 is: 2,048.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.48 : 2,635.25 = 1,366.69 : x
  2. Step 2: Convert to fraction form
    1,758.48/2,635.25 = 1,366.69/x
  3. Step 3: Cross multiply
    1,758.48x = 2,635.25 × 1,366.69
  4. Step 4: Simplify right side
    1,758.48x = 3,601,569.03
  5. Step 5: Solve for x
    x = 3,601,569.03/1,758.48
  6. Step 6: Final answer
    x = 2,048.12

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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.