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Finding the Fourth Proportional to 2,358.22, 3,254.08 and 1,413.82

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Solution

The fourth proportional to 2,358.22, 3,254.08 and 1,413.82 is: 1,950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.22 : 3,254.08 = 1,413.82 : x
  2. Step 2: Convert to fraction form
    2,358.22/3,254.08 = 1,413.82/x
  3. Step 3: Cross multiply
    2,358.22x = 3,254.08 × 1,413.82
  4. Step 4: Simplify right side
    2,358.22x = 4,600,683.39
  5. Step 5: Solve for x
    x = 4,600,683.39/2,358.22
  6. Step 6: Final answer
    x = 1,950.91

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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.