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Finding the Fourth Proportional to 2,604.64, 3,594.41 and 1,425.71

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Solution

The fourth proportional to 2,604.64, 3,594.41 and 1,425.71 is: 1,967.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.64 : 3,594.41 = 1,425.71 : x
  2. Step 2: Convert to fraction form
    2,604.64/3,594.41 = 1,425.71/x
  3. Step 3: Cross multiply
    2,604.64x = 3,594.41 × 1,425.71
  4. Step 4: Simplify right side
    2,604.64x = 5,124,596.20
  5. Step 5: Solve for x
    x = 5,124,596.20/2,604.64
  6. Step 6: Final answer
    x = 1,967.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.