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Finding the Fourth Proportional to 2,275.90, 3,413.72 and 795.02

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Solution

The fourth proportional to 2,275.90, 3,413.72 and 795.02 is: 1,192.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.90 : 3,413.72 = 795.02 : x
  2. Step 2: Convert to fraction form
    2,275.90/3,413.72 = 795.02/x
  3. Step 3: Cross multiply
    2,275.90x = 3,413.72 × 795.02
  4. Step 4: Simplify right side
    2,275.90x = 2,713,954.63
  5. Step 5: Solve for x
    x = 2,713,954.63/2,275.90
  6. Step 6: Final answer
    x = 1,192.48

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Why These Related Problems?

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