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Finding the Fourth Proportional to 2,387.52, 3,579.66 and 1,413.09

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Solution

The fourth proportional to 2,387.52, 3,579.66 and 1,413.09 is: 2,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.52 : 3,579.66 = 1,413.09 : x
  2. Step 2: Convert to fraction form
    2,387.52/3,579.66 = 1,413.09/x
  3. Step 3: Cross multiply
    2,387.52x = 3,579.66 × 1,413.09
  4. Step 4: Simplify right side
    2,387.52x = 5,058,381.75
  5. Step 5: Solve for x
    x = 5,058,381.75/2,387.52
  6. Step 6: Final answer
    x = 2,118.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.