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Finding the Fourth Proportional to 1,609.56, 2,413.26 and 1,035.72

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Solution

The fourth proportional to 1,609.56, 2,413.26 and 1,035.72 is: 1,552.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.56 : 2,413.26 = 1,035.72 : x
  2. Step 2: Convert to fraction form
    1,609.56/2,413.26 = 1,035.72/x
  3. Step 3: Cross multiply
    1,609.56x = 2,413.26 × 1,035.72
  4. Step 4: Simplify right side
    1,609.56x = 2,499,461.65
  5. Step 5: Solve for x
    x = 2,499,461.65/1,609.56
  6. Step 6: Final answer
    x = 1,552.89

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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.