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Finding the Fourth Proportional to 1,963.07, 2,709.16 and 1,298.77

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Solution

The fourth proportional to 1,963.07, 2,709.16 and 1,298.77 is: 1,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.07 : 2,709.16 = 1,298.77 : x
  2. Step 2: Convert to fraction form
    1,963.07/2,709.16 = 1,298.77/x
  3. Step 3: Cross multiply
    1,963.07x = 2,709.16 × 1,298.77
  4. Step 4: Simplify right side
    1,963.07x = 3,518,575.73
  5. Step 5: Solve for x
    x = 3,518,575.73/1,963.07
  6. Step 6: Final answer
    x = 1,792.38

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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.