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Finding the Fourth Proportional to 2,655.54, 3,956.63 and 2,506.50

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Solution

The fourth proportional to 2,655.54, 3,956.63 and 2,506.50 is: 3,734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.54 : 3,956.63 = 2,506.50 : x
  2. Step 2: Convert to fraction form
    2,655.54/3,956.63 = 2,506.50/x
  3. Step 3: Cross multiply
    2,655.54x = 3,956.63 × 2,506.50
  4. Step 4: Simplify right side
    2,655.54x = 9,917,280.56
  5. Step 5: Solve for x
    x = 9,917,280.56/2,655.54
  6. Step 6: Final answer
    x = 3,734.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.