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Finding the Fourth Proportional to 1,773.09, 2,429.16 and 1,706.60

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Solution

The fourth proportional to 1,773.09, 2,429.16 and 1,706.60 is: 2,338.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.09 : 2,429.16 = 1,706.60 : x
  2. Step 2: Convert to fraction form
    1,773.09/2,429.16 = 1,706.60/x
  3. Step 3: Cross multiply
    1,773.09x = 2,429.16 × 1,706.60
  4. Step 4: Simplify right side
    1,773.09x = 4,145,604.46
  5. Step 5: Solve for x
    x = 4,145,604.46/1,773.09
  6. Step 6: Final answer
    x = 2,338.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.