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Finding the Fourth Proportional to 1,413.24, 1,950.66 and 972.24

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Solution

The fourth proportional to 1,413.24, 1,950.66 and 972.24 is: 1,341.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.24 : 1,950.66 = 972.24 : x
  2. Step 2: Convert to fraction form
    1,413.24/1,950.66 = 972.24/x
  3. Step 3: Cross multiply
    1,413.24x = 1,950.66 × 972.24
  4. Step 4: Simplify right side
    1,413.24x = 1,896,509.68
  5. Step 5: Solve for x
    x = 1,896,509.68/1,413.24
  6. Step 6: Final answer
    x = 1,341.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.