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Finding the Fourth Proportional to 1,792.50, 2,473.68 and 1,006.50

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Solution

The fourth proportional to 1,792.50, 2,473.68 and 1,006.50 is: 1,388.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.50 : 2,473.68 = 1,006.50 : x
  2. Step 2: Convert to fraction form
    1,792.50/2,473.68 = 1,006.50/x
  3. Step 3: Cross multiply
    1,792.50x = 2,473.68 × 1,006.50
  4. Step 4: Simplify right side
    1,792.50x = 2,489,758.92
  5. Step 5: Solve for x
    x = 2,489,758.92/1,792.50
  6. Step 6: Final answer
    x = 1,388.99

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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.