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Finding the Fourth Proportional to 3,062.64, 4,594.74 and 1,306.76

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Solution

The fourth proportional to 3,062.64, 4,594.74 and 1,306.76 is: 1,960.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.64 : 4,594.74 = 1,306.76 : x
  2. Step 2: Convert to fraction form
    3,062.64/4,594.74 = 1,306.76/x
  3. Step 3: Cross multiply
    3,062.64x = 4,594.74 × 1,306.76
  4. Step 4: Simplify right side
    3,062.64x = 6,004,222.44
  5. Step 5: Solve for x
    x = 6,004,222.44/3,062.64
  6. Step 6: Final answer
    x = 1,960.47

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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.