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Finding the Fourth Proportional to 1,610.08, 2,413.72 and 623.58

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Solution

The fourth proportional to 1,610.08, 2,413.72 and 623.58 is: 934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.08 : 2,413.72 = 623.58 : x
  2. Step 2: Convert to fraction form
    1,610.08/2,413.72 = 623.58/x
  3. Step 3: Cross multiply
    1,610.08x = 2,413.72 × 623.58
  4. Step 4: Simplify right side
    1,610.08x = 1,505,147.52
  5. Step 5: Solve for x
    x = 1,505,147.52/1,610.08
  6. Step 6: Final answer
    x = 934.83

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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.