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Finding the Fourth Proportional to 2,532.88, 3,494.98 and 1,413.76

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Solution

The fourth proportional to 2,532.88, 3,494.98 and 1,413.76 is: 1,950.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.88 : 3,494.98 = 1,413.76 : x
  2. Step 2: Convert to fraction form
    2,532.88/3,494.98 = 1,413.76/x
  3. Step 3: Cross multiply
    2,532.88x = 3,494.98 × 1,413.76
  4. Step 4: Simplify right side
    2,532.88x = 4,941,062.92
  5. Step 5: Solve for x
    x = 4,941,062.92/2,532.88
  6. Step 6: Final answer
    x = 1,950.77

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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.