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Finding the Fourth Proportional to 1,792.48, 2,473.80 and 1,204.24

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Solution

The fourth proportional to 1,792.48, 2,473.80 and 1,204.24 is: 1,661.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.48 : 2,473.80 = 1,204.24 : x
  2. Step 2: Convert to fraction form
    1,792.48/2,473.80 = 1,204.24/x
  3. Step 3: Cross multiply
    1,792.48x = 2,473.80 × 1,204.24
  4. Step 4: Simplify right side
    1,792.48x = 2,979,048.91
  5. Step 5: Solve for x
    x = 2,979,048.91/1,792.48
  6. Step 6: Final answer
    x = 1,661.97

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1.5x scale

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.