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Finding the Fourth Proportional to 1,794.91, 2,475.93 and 1,206.25

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Solution

The fourth proportional to 1,794.91, 2,475.93 and 1,206.25 is: 1,663.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.91 : 2,475.93 = 1,206.25 : x
  2. Step 2: Convert to fraction form
    1,794.91/2,475.93 = 1,206.25/x
  3. Step 3: Cross multiply
    1,794.91x = 2,475.93 × 1,206.25
  4. Step 4: Simplify right side
    1,794.91x = 2,986,590.56
  5. Step 5: Solve for x
    x = 2,986,590.56/1,794.91
  6. Step 6: Final answer
    x = 1,663.92

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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.