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Finding the Fourth Proportional to 2,602, 3,903.54 and 1,063

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Solution

The fourth proportional to 2,602, 3,903.54 and 1,063 is: 1,594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602 : 3,903.54 = 1,063 : x
  2. Step 2: Convert to fraction form
    2,602/3,903.54 = 1,063/x
  3. Step 3: Cross multiply
    2,602x = 3,903.54 × 1,063
  4. Step 4: Simplify right side
    2,602x = 4,149,463.02
  5. Step 5: Solve for x
    x = 4,149,463.02/2,602
  6. Step 6: Final answer
    x = 1,594.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.