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Finding the Fourth Proportional to 2,556.08, 3,527.28 and 1,563

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Solution

The fourth proportional to 2,556.08, 3,527.28 and 1,563 is: 2,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.08 : 3,527.28 = 1,563 : x
  2. Step 2: Convert to fraction form
    2,556.08/3,527.28 = 1,563/x
  3. Step 3: Cross multiply
    2,556.08x = 3,527.28 × 1,563
  4. Step 4: Simplify right side
    2,556.08x = 5,513,138.64
  5. Step 5: Solve for x
    x = 5,513,138.64/2,556.08
  6. Step 6: Final answer
    x = 2,156.87

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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.