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Finding the Fourth Proportional to 2,656.63, 3,639.62 and 2,556.90

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Solution

The fourth proportional to 2,656.63, 3,639.62 and 2,556.90 is: 3,502.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.63 : 3,639.62 = 2,556.90 : x
  2. Step 2: Convert to fraction form
    2,656.63/3,639.62 = 2,556.90/x
  3. Step 3: Cross multiply
    2,656.63x = 3,639.62 × 2,556.90
  4. Step 4: Simplify right side
    2,656.63x = 9,306,150.77
  5. Step 5: Solve for x
    x = 9,306,150.77/2,656.63
  6. Step 6: Final answer
    x = 3,502.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.