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Finding the Fourth Proportional to 1,792, 2,473.44 and 1,171.84

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Solution

The fourth proportional to 1,792, 2,473.44 and 1,171.84 is: 1,617.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792 : 2,473.44 = 1,171.84 : x
  2. Step 2: Convert to fraction form
    1,792/2,473.44 = 1,171.84/x
  3. Step 3: Cross multiply
    1,792x = 2,473.44 × 1,171.84
  4. Step 4: Simplify right side
    1,792x = 2,898,475.93
  5. Step 5: Solve for x
    x = 2,898,475.93/1,792
  6. Step 6: Final answer
    x = 1,617.45

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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.