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Finding the Fourth Proportional to 2,115.63, 3,173.59 and 654.59

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Solution

The fourth proportional to 2,115.63, 3,173.59 and 654.59 is: 981.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.63 : 3,173.59 = 654.59 : x
  2. Step 2: Convert to fraction form
    2,115.63/3,173.59 = 654.59/x
  3. Step 3: Cross multiply
    2,115.63x = 3,173.59 × 654.59
  4. Step 4: Simplify right side
    2,115.63x = 2,077,400.28
  5. Step 5: Solve for x
    x = 2,077,400.28/2,115.63
  6. Step 6: Final answer
    x = 981.93

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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.