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Finding the Fourth Proportional to 1,600.48, 2,389.28 and 1,354.37

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Solution

The fourth proportional to 1,600.48, 2,389.28 and 1,354.37 is: 2,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.48 : 2,389.28 = 1,354.37 : x
  2. Step 2: Convert to fraction form
    1,600.48/2,389.28 = 1,354.37/x
  3. Step 3: Cross multiply
    1,600.48x = 2,389.28 × 1,354.37
  4. Step 4: Simplify right side
    1,600.48x = 3,235,969.15
  5. Step 5: Solve for x
    x = 3,235,969.15/1,600.48
  6. Step 6: Final answer
    x = 2,021.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.