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Finding the Fourth Proportional to 2,413.84, 3,329.16 and 1,574.48

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Solution

The fourth proportional to 2,413.84, 3,329.16 and 1,574.48 is: 2,171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.84 : 3,329.16 = 1,574.48 : x
  2. Step 2: Convert to fraction form
    2,413.84/3,329.16 = 1,574.48/x
  3. Step 3: Cross multiply
    2,413.84x = 3,329.16 × 1,574.48
  4. Step 4: Simplify right side
    2,413.84x = 5,241,695.84
  5. Step 5: Solve for x
    x = 5,241,695.84/2,413.84
  6. Step 6: Final answer
    x = 2,171.52

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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.