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Finding the Fourth Proportional to 1,792.12, 2,473.24 and 1,349.24

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Solution

The fourth proportional to 1,792.12, 2,473.24 and 1,349.24 is: 1,862.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.12 : 2,473.24 = 1,349.24 : x
  2. Step 2: Convert to fraction form
    1,792.12/2,473.24 = 1,349.24/x
  3. Step 3: Cross multiply
    1,792.12x = 2,473.24 × 1,349.24
  4. Step 4: Simplify right side
    1,792.12x = 3,336,994.34
  5. Step 5: Solve for x
    x = 3,336,994.34/1,792.12
  6. Step 6: Final answer
    x = 1,862.04

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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.