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Finding the Fourth Proportional to 1,599.13, 2,204.98 and 1,303.48

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Solution

The fourth proportional to 1,599.13, 2,204.98 and 1,303.48 is: 1,797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.13 : 2,204.98 = 1,303.48 : x
  2. Step 2: Convert to fraction form
    1,599.13/2,204.98 = 1,303.48/x
  3. Step 3: Cross multiply
    1,599.13x = 2,204.98 × 1,303.48
  4. Step 4: Simplify right side
    1,599.13x = 2,874,147.33
  5. Step 5: Solve for x
    x = 2,874,147.33/1,599.13
  6. Step 6: Final answer
    x = 1,797.32

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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.