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Finding the Fourth Proportional to 1,775.65, 2,450.63 and 1,279.93

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Solution

The fourth proportional to 1,775.65, 2,450.63 and 1,279.93 is: 1,766.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.65 : 2,450.63 = 1,279.93 : x
  2. Step 2: Convert to fraction form
    1,775.65/2,450.63 = 1,279.93/x
  3. Step 3: Cross multiply
    1,775.65x = 2,450.63 × 1,279.93
  4. Step 4: Simplify right side
    1,775.65x = 3,136,634.86
  5. Step 5: Solve for x
    x = 3,136,634.86/1,775.65
  6. Step 6: Final answer
    x = 1,766.47

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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.