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Finding the Fourth Proportional to 1,462.07, 2,016.63 and 1,413.86

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Solution

The fourth proportional to 1,462.07, 2,016.63 and 1,413.86 is: 1,950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.07 : 2,016.63 = 1,413.86 : x
  2. Step 2: Convert to fraction form
    1,462.07/2,016.63 = 1,413.86/x
  3. Step 3: Cross multiply
    1,462.07x = 2,016.63 × 1,413.86
  4. Step 4: Simplify right side
    1,462.07x = 2,851,222.41
  5. Step 5: Solve for x
    x = 2,851,222.41/1,462.07
  6. Step 6: Final answer
    x = 1,950.13

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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.