Home / 1,599.32-2,206.36-1,102.38

Finding the Fourth Proportional to 1,599.32, 2,206.36 and 1,102.38

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Solution

The fourth proportional to 1,599.32, 2,206.36 and 1,102.38 is: 1,520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.32 : 2,206.36 = 1,102.38 : x
  2. Step 2: Convert to fraction form
    1,599.32/2,206.36 = 1,102.38/x
  3. Step 3: Cross multiply
    1,599.32x = 2,206.36 × 1,102.38
  4. Step 4: Simplify right side
    1,599.32x = 2,432,247.14
  5. Step 5: Solve for x
    x = 2,432,247.14/1,599.32
  6. Step 6: Final answer
    x = 1,520.80

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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.