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Finding the Fourth Proportional to 2,413.52, 3,329.84 and 1,529.19

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Solution

The fourth proportional to 2,413.52, 3,329.84 and 1,529.19 is: 2,109.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.52 : 3,329.84 = 1,529.19 : x
  2. Step 2: Convert to fraction form
    2,413.52/3,329.84 = 1,529.19/x
  3. Step 3: Cross multiply
    2,413.52x = 3,329.84 × 1,529.19
  4. Step 4: Simplify right side
    2,413.52x = 5,091,950.38
  5. Step 5: Solve for x
    x = 5,091,950.38/2,413.52
  6. Step 6: Final answer
    x = 2,109.77

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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.