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Finding the Fourth Proportional to 1,429.70, 2,144.55 and 1,202.90

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Solution

The fourth proportional to 1,429.70, 2,144.55 and 1,202.90 is: 1,804.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.70 : 2,144.55 = 1,202.90 : x
  2. Step 2: Convert to fraction form
    1,429.70/2,144.55 = 1,202.90/x
  3. Step 3: Cross multiply
    1,429.70x = 2,144.55 × 1,202.90
  4. Step 4: Simplify right side
    1,429.70x = 2,579,679.20
  5. Step 5: Solve for x
    x = 2,579,679.20/1,429.70
  6. Step 6: Final answer
    x = 1,804.35

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