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Finding the Fourth Proportional to 2,475.92, 3,413.88 and 2,056.76

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Solution

The fourth proportional to 2,475.92, 3,413.88 and 2,056.76 is: 2,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.92 : 3,413.88 = 2,056.76 : x
  2. Step 2: Convert to fraction form
    2,475.92/3,413.88 = 2,056.76/x
  3. Step 3: Cross multiply
    2,475.92x = 3,413.88 × 2,056.76
  4. Step 4: Simplify right side
    2,475.92x = 7,021,531.83
  5. Step 5: Solve for x
    x = 7,021,531.83/2,475.92
  6. Step 6: Final answer
    x = 2,835.93

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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.