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Finding the Fourth Proportional to 2,476.10, 3,416.04 and 1,413.57

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Solution

The fourth proportional to 2,476.10, 3,416.04 and 1,413.57 is: 1,950.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.10 : 3,416.04 = 1,413.57 : x
  2. Step 2: Convert to fraction form
    2,476.10/3,416.04 = 1,413.57/x
  3. Step 3: Cross multiply
    2,476.10x = 3,416.04 × 1,413.57
  4. Step 4: Simplify right side
    2,476.10x = 4,828,811.66
  5. Step 5: Solve for x
    x = 4,828,811.66/2,476.10
  6. Step 6: Final answer
    x = 1,950.17

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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.