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Finding the Fourth Proportional to 1,422.32, 2,128.93 and 762.55

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Solution

The fourth proportional to 1,422.32, 2,128.93 and 762.55 is: 1,141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.32 : 2,128.93 = 762.55 : x
  2. Step 2: Convert to fraction form
    1,422.32/2,128.93 = 762.55/x
  3. Step 3: Cross multiply
    1,422.32x = 2,128.93 × 762.55
  4. Step 4: Simplify right side
    1,422.32x = 1,623,413.67
  5. Step 5: Solve for x
    x = 1,623,413.67/1,422.32
  6. Step 6: Final answer
    x = 1,141.39

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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.