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Finding the Fourth Proportional to 3,472.69, 4,792.31 and 1,900.78

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Solution

The fourth proportional to 3,472.69, 4,792.31 and 1,900.78 is: 2,623.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.69 : 4,792.31 = 1,900.78 : x
  2. Step 2: Convert to fraction form
    3,472.69/4,792.31 = 1,900.78/x
  3. Step 3: Cross multiply
    3,472.69x = 4,792.31 × 1,900.78
  4. Step 4: Simplify right side
    3,472.69x = 9,109,130.62
  5. Step 5: Solve for x
    x = 9,109,130.62/3,472.69
  6. Step 6: Final answer
    x = 2,623.08

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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.