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Finding the Fourth Proportional to 1,792.95, 2,474.14 and 1,006.85

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Solution

The fourth proportional to 1,792.95, 2,474.14 and 1,006.85 is: 1,389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.95 : 2,474.14 = 1,006.85 : x
  2. Step 2: Convert to fraction form
    1,792.95/2,474.14 = 1,006.85/x
  3. Step 3: Cross multiply
    1,792.95x = 2,474.14 × 1,006.85
  4. Step 4: Simplify right side
    1,792.95x = 2,491,070.45
  5. Step 5: Solve for x
    x = 2,491,070.45/1,792.95
  6. Step 6: Final answer
    x = 1,389.37

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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.