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Finding the Fourth Proportional to 1,492.68, 2,069.37 and 1,413.69

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Solution

The fourth proportional to 1,492.68, 2,069.37 and 1,413.69 is: 1,959.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.68 : 2,069.37 = 1,413.69 : x
  2. Step 2: Convert to fraction form
    1,492.68/2,069.37 = 1,413.69/x
  3. Step 3: Cross multiply
    1,492.68x = 2,069.37 × 1,413.69
  4. Step 4: Simplify right side
    1,492.68x = 2,925,447.68
  5. Step 5: Solve for x
    x = 2,925,447.68/1,492.68
  6. Step 6: Final answer
    x = 1,959.86

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.