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Finding the Fourth Proportional to 2,556.15, 3,525.31 and 2,159.76

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Solution

The fourth proportional to 2,556.15, 3,525.31 and 2,159.76 is: 2,978.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.15 : 3,525.31 = 2,159.76 : x
  2. Step 2: Convert to fraction form
    2,556.15/3,525.31 = 2,159.76/x
  3. Step 3: Cross multiply
    2,556.15x = 3,525.31 × 2,159.76
  4. Step 4: Simplify right side
    2,556.15x = 7,613,823.53
  5. Step 5: Solve for x
    x = 7,613,823.53/2,556.15
  6. Step 6: Final answer
    x = 2,978.63

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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.