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Finding the Fourth Proportional to 3,201.63, 4,802.72 and 1,559.63

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Solution

The fourth proportional to 3,201.63, 4,802.72 and 1,559.63 is: 2,339.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.63 : 4,802.72 = 1,559.63 : x
  2. Step 2: Convert to fraction form
    3,201.63/4,802.72 = 1,559.63/x
  3. Step 3: Cross multiply
    3,201.63x = 4,802.72 × 1,559.63
  4. Step 4: Simplify right side
    3,201.63x = 7,490,434.38
  5. Step 5: Solve for x
    x = 7,490,434.38/3,201.63
  6. Step 6: Final answer
    x = 2,339.57

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1.5x scale

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.