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Finding the Fourth Proportional to 2,523.75, 3,784.62 and 1,484.01

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Solution

The fourth proportional to 2,523.75, 3,784.62 and 1,484.01 is: 2,225.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.75 : 3,784.62 = 1,484.01 : x
  2. Step 2: Convert to fraction form
    2,523.75/3,784.62 = 1,484.01/x
  3. Step 3: Cross multiply
    2,523.75x = 3,784.62 × 1,484.01
  4. Step 4: Simplify right side
    2,523.75x = 5,616,413.93
  5. Step 5: Solve for x
    x = 5,616,413.93/2,523.75
  6. Step 6: Final answer
    x = 2,225.42

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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.