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Finding the Fourth Proportional to 1,993.64, 2,753.26 and 1,495.49

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Solution

The fourth proportional to 1,993.64, 2,753.26 and 1,495.49 is: 2,065.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.64 : 2,753.26 = 1,495.49 : x
  2. Step 2: Convert to fraction form
    1,993.64/2,753.26 = 1,495.49/x
  3. Step 3: Cross multiply
    1,993.64x = 2,753.26 × 1,495.49
  4. Step 4: Simplify right side
    1,993.64x = 4,117,455.29
  5. Step 5: Solve for x
    x = 4,117,455.29/1,993.64
  6. Step 6: Final answer
    x = 2,065.30

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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.