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Finding the Fourth Proportional to 3,051.50, 4,209.66 and 1,792.15

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Solution

The fourth proportional to 3,051.50, 4,209.66 and 1,792.15 is: 2,472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.50 : 4,209.66 = 1,792.15 : x
  2. Step 2: Convert to fraction form
    3,051.50/4,209.66 = 1,792.15/x
  3. Step 3: Cross multiply
    3,051.50x = 4,209.66 × 1,792.15
  4. Step 4: Simplify right side
    3,051.50x = 7,544,342.17
  5. Step 5: Solve for x
    x = 7,544,342.17/3,051.50
  6. Step 6: Final answer
    x = 2,472.34

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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.