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Finding the Fourth Proportional to 2,024.07, 3,036.51 and 725.64

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Solution

The fourth proportional to 2,024.07, 3,036.51 and 725.64 is: 1,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.07 : 3,036.51 = 725.64 : x
  2. Step 2: Convert to fraction form
    2,024.07/3,036.51 = 725.64/x
  3. Step 3: Cross multiply
    2,024.07x = 3,036.51 × 725.64
  4. Step 4: Simplify right side
    2,024.07x = 2,203,413.12
  5. Step 5: Solve for x
    x = 2,203,413.12/2,024.07
  6. Step 6: Final answer
    x = 1,088.61

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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.