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Finding the Fourth Proportional to 1,413.08, 1,948.00 and 992.15

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Solution

The fourth proportional to 1,413.08, 1,948.00 and 992.15 is: 1,367.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.08 : 1,948.00 = 992.15 : x
  2. Step 2: Convert to fraction form
    1,413.08/1,948.00 = 992.15/x
  3. Step 3: Cross multiply
    1,413.08x = 1,948.00 × 992.15
  4. Step 4: Simplify right side
    1,413.08x = 1,932,693.50
  5. Step 5: Solve for x
    x = 1,932,693.50/1,413.08
  6. Step 6: Final answer
    x = 1,367.72

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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.