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Finding the Fourth Proportional to 3,472.83, 4,792.54 and 1,900.96

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Solution

The fourth proportional to 3,472.83, 4,792.54 and 1,900.96 is: 2,623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.83 : 4,792.54 = 1,900.96 : x
  2. Step 2: Convert to fraction form
    3,472.83/4,792.54 = 1,900.96/x
  3. Step 3: Cross multiply
    3,472.83x = 4,792.54 × 1,900.96
  4. Step 4: Simplify right side
    3,472.83x = 9,110,410.10
  5. Step 5: Solve for x
    x = 9,110,410.10/3,472.83
  6. Step 6: Final answer
    x = 2,623.34

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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.