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Finding the Fourth Proportional to 2,298.42, 3,171.88 and 1,413.72

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Solution

The fourth proportional to 2,298.42, 3,171.88 and 1,413.72 is: 1,950.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.42 : 3,171.88 = 1,413.72 : x
  2. Step 2: Convert to fraction form
    2,298.42/3,171.88 = 1,413.72/x
  3. Step 3: Cross multiply
    2,298.42x = 3,171.88 × 1,413.72
  4. Step 4: Simplify right side
    2,298.42x = 4,484,150.19
  5. Step 5: Solve for x
    x = 4,484,150.19/2,298.42
  6. Step 6: Final answer
    x = 1,950.97

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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.