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Finding the Fourth Proportional to 1,772.94, 2,446.65 and 1,064.91

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Solution

The fourth proportional to 1,772.94, 2,446.65 and 1,064.91 is: 1,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.94 : 2,446.65 = 1,064.91 : x
  2. Step 2: Convert to fraction form
    1,772.94/2,446.65 = 1,064.91/x
  3. Step 3: Cross multiply
    1,772.94x = 2,446.65 × 1,064.91
  4. Step 4: Simplify right side
    1,772.94x = 2,605,462.05
  5. Step 5: Solve for x
    x = 2,605,462.05/1,772.94
  6. Step 6: Final answer
    x = 1,469.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.