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Finding the Fourth Proportional to 2,117.94, 3,175.28 and 962.88

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Solution

The fourth proportional to 2,117.94, 3,175.28 and 962.88 is: 1,443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.94 : 3,175.28 = 962.88 : x
  2. Step 2: Convert to fraction form
    2,117.94/3,175.28 = 962.88/x
  3. Step 3: Cross multiply
    2,117.94x = 3,175.28 × 962.88
  4. Step 4: Simplify right side
    2,117.94x = 3,057,413.61
  5. Step 5: Solve for x
    x = 3,057,413.61/2,117.94
  6. Step 6: Final answer
    x = 1,443.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.