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Finding the Fourth Proportional to 3,061.47, 4,594.17 and 1,601.64

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Solution

The fourth proportional to 3,061.47, 4,594.17 and 1,601.64 is: 2,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.47 : 4,594.17 = 1,601.64 : x
  2. Step 2: Convert to fraction form
    3,061.47/4,594.17 = 1,601.64/x
  3. Step 3: Cross multiply
    3,061.47x = 4,594.17 × 1,601.64
  4. Step 4: Simplify right side
    3,061.47x = 7,358,206.44
  5. Step 5: Solve for x
    x = 7,358,206.44/3,061.47
  6. Step 6: Final answer
    x = 2,403.49

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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.