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Finding the Fourth Proportional to 1,651.52, 2,460.06 and 1,563.86

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Solution

The fourth proportional to 1,651.52, 2,460.06 and 1,563.86 is: 2,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.52 : 2,460.06 = 1,563.86 : x
  2. Step 2: Convert to fraction form
    1,651.52/2,460.06 = 1,563.86/x
  3. Step 3: Cross multiply
    1,651.52x = 2,460.06 × 1,563.86
  4. Step 4: Simplify right side
    1,651.52x = 3,847,189.43
  5. Step 5: Solve for x
    x = 3,847,189.43/1,651.52
  6. Step 6: Final answer
    x = 2,329.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.