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Finding the Fourth Proportional to 1,426.02, 2,134.98 and 1,102.02

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Solution

The fourth proportional to 1,426.02, 2,134.98 and 1,102.02 is: 1,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.02 : 2,134.98 = 1,102.02 : x
  2. Step 2: Convert to fraction form
    1,426.02/2,134.98 = 1,102.02/x
  3. Step 3: Cross multiply
    1,426.02x = 2,134.98 × 1,102.02
  4. Step 4: Simplify right side
    1,426.02x = 2,352,790.66
  5. Step 5: Solve for x
    x = 2,352,790.66/1,426.02
  6. Step 6: Final answer
    x = 1,649.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.