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Finding the Fourth Proportional to 2,475.77, 3,415.83 and 1,413.50

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Solution

The fourth proportional to 2,475.77, 3,415.83 and 1,413.50 is: 1,950.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.77 : 3,415.83 = 1,413.50 : x
  2. Step 2: Convert to fraction form
    2,475.77/3,415.83 = 1,413.50/x
  3. Step 3: Cross multiply
    2,475.77x = 3,415.83 × 1,413.50
  4. Step 4: Simplify right side
    2,475.77x = 4,828,275.71
  5. Step 5: Solve for x
    x = 4,828,275.71/2,475.77
  6. Step 6: Final answer
    x = 1,950.21

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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.