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Finding the Fourth Proportional to 1,733.95, 2,393.01 and 1,361.62

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Solution

The fourth proportional to 1,733.95, 2,393.01 and 1,361.62 is: 1,879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.95 : 2,393.01 = 1,361.62 : x
  2. Step 2: Convert to fraction form
    1,733.95/2,393.01 = 1,361.62/x
  3. Step 3: Cross multiply
    1,733.95x = 2,393.01 × 1,361.62
  4. Step 4: Simplify right side
    1,733.95x = 3,258,370.28
  5. Step 5: Solve for x
    x = 3,258,370.28/1,733.95
  6. Step 6: Final answer
    x = 1,879.16

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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.