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Finding the Fourth Proportional to 2,102.60, 3,153.90 and 563.60

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Solution

The fourth proportional to 2,102.60, 3,153.90 and 563.60 is: 845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.60 : 3,153.90 = 563.60 : x
  2. Step 2: Convert to fraction form
    2,102.60/3,153.90 = 563.60/x
  3. Step 3: Cross multiply
    2,102.60x = 3,153.90 × 563.60
  4. Step 4: Simplify right side
    2,102.60x = 1,777,538.04
  5. Step 5: Solve for x
    x = 1,777,538.04/2,102.60
  6. Step 6: Final answer
    x = 845.40

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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.