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Finding the Fourth Proportional to 1,553.34, 2,142.90 and 1,029.72

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Solution

The fourth proportional to 1,553.34, 2,142.90 and 1,029.72 is: 1,420.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.34 : 2,142.90 = 1,029.72 : x
  2. Step 2: Convert to fraction form
    1,553.34/2,142.90 = 1,029.72/x
  3. Step 3: Cross multiply
    1,553.34x = 2,142.90 × 1,029.72
  4. Step 4: Simplify right side
    1,553.34x = 2,206,586.99
  5. Step 5: Solve for x
    x = 2,206,586.99/1,553.34
  6. Step 6: Final answer
    x = 1,420.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.