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Finding the Fourth Proportional to 2,476.52, 3,416.74 and 1,413.52

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Solution

The fourth proportional to 2,476.52, 3,416.74 and 1,413.52 is: 1,950.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.52 : 3,416.74 = 1,413.52 : x
  2. Step 2: Convert to fraction form
    2,476.52/3,416.74 = 1,413.52/x
  3. Step 3: Cross multiply
    2,476.52x = 3,416.74 × 1,413.52
  4. Step 4: Simplify right side
    2,476.52x = 4,829,630.32
  5. Step 5: Solve for x
    x = 4,829,630.32/2,476.52
  6. Step 6: Final answer
    x = 1,950.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.