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Finding the Fourth Proportional to 1,567.62, 2,351.58 and 413.38

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Solution

The fourth proportional to 1,567.62, 2,351.58 and 413.38 is: 620.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.62 : 2,351.58 = 413.38 : x
  2. Step 2: Convert to fraction form
    1,567.62/2,351.58 = 413.38/x
  3. Step 3: Cross multiply
    1,567.62x = 2,351.58 × 413.38
  4. Step 4: Simplify right side
    1,567.62x = 972,096.14
  5. Step 5: Solve for x
    x = 972,096.14/1,567.62
  6. Step 6: Final answer
    x = 620.11

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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.