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Finding the Fourth Proportional to 2,461.77, 3,397.68 and 1,413.81

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Solution

The fourth proportional to 2,461.77, 3,397.68 and 1,413.81 is: 1,951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.77 : 3,397.68 = 1,413.81 : x
  2. Step 2: Convert to fraction form
    2,461.77/3,397.68 = 1,413.81/x
  3. Step 3: Cross multiply
    2,461.77x = 3,397.68 × 1,413.81
  4. Step 4: Simplify right side
    2,461.77x = 4,803,673.96
  5. Step 5: Solve for x
    x = 4,803,673.96/2,461.77
  6. Step 6: Final answer
    x = 1,951.31

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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.