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Finding the Fourth Proportional to 2,357.73, 3,253.73 and 1,413.67

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Solution

The fourth proportional to 2,357.73, 3,253.73 and 1,413.67 is: 1,950.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.73 : 3,253.73 = 1,413.67 : x
  2. Step 2: Convert to fraction form
    2,357.73/3,253.73 = 1,413.67/x
  3. Step 3: Cross multiply
    2,357.73x = 3,253.73 × 1,413.67
  4. Step 4: Simplify right side
    2,357.73x = 4,599,700.49
  5. Step 5: Solve for x
    x = 4,599,700.49/2,357.73
  6. Step 6: Final answer
    x = 1,950.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.