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Finding the Fourth Proportional to 2,957.34, 4,423.05 and 2,413.02

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Solution

The fourth proportional to 2,957.34, 4,423.05 and 2,413.02 is: 3,608.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.34 : 4,423.05 = 2,413.02 : x
  2. Step 2: Convert to fraction form
    2,957.34/4,423.05 = 2,413.02/x
  3. Step 3: Cross multiply
    2,957.34x = 4,423.05 × 2,413.02
  4. Step 4: Simplify right side
    2,957.34x = 10,672,908.11
  5. Step 5: Solve for x
    x = 10,672,908.11/2,957.34
  6. Step 6: Final answer
    x = 3,608.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.