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Finding the Fourth Proportional to 2,556.95, 3,528.62 and 1,422.63

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Solution

The fourth proportional to 2,556.95, 3,528.62 and 1,422.63 is: 1,963.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.95 : 3,528.62 = 1,422.63 : x
  2. Step 2: Convert to fraction form
    2,556.95/3,528.62 = 1,422.63/x
  3. Step 3: Cross multiply
    2,556.95x = 3,528.62 × 1,422.63
  4. Step 4: Simplify right side
    2,556.95x = 5,019,913.56
  5. Step 5: Solve for x
    x = 5,019,913.56/2,556.95
  6. Step 6: Final answer
    x = 1,963.25

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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.