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Finding the Fourth Proportional to 1,608.77, 2,412.52 and 1,024.16

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Solution

The fourth proportional to 1,608.77, 2,412.52 and 1,024.16 is: 1,535.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.77 : 2,412.52 = 1,024.16 : x
  2. Step 2: Convert to fraction form
    1,608.77/2,412.52 = 1,024.16/x
  3. Step 3: Cross multiply
    1,608.77x = 2,412.52 × 1,024.16
  4. Step 4: Simplify right side
    1,608.77x = 2,470,791.86
  5. Step 5: Solve for x
    x = 2,470,791.86/1,608.77
  6. Step 6: Final answer
    x = 1,535.82

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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.