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Finding the Fourth Proportional to 1,792.87, 2,468.95 and 1,462.07

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Solution

The fourth proportional to 1,792.87, 2,468.95 and 1,462.07 is: 2,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.87 : 2,468.95 = 1,462.07 : x
  2. Step 2: Convert to fraction form
    1,792.87/2,468.95 = 1,462.07/x
  3. Step 3: Cross multiply
    1,792.87x = 2,468.95 × 1,462.07
  4. Step 4: Simplify right side
    1,792.87x = 3,609,780.24
  5. Step 5: Solve for x
    x = 3,609,780.24/1,792.87
  6. Step 6: Final answer
    x = 2,013.41

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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.