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Finding the Fourth Proportional to 4,102.02, 6,149.16 and 1,503

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Solution

The fourth proportional to 4,102.02, 6,149.16 and 1,503 is: 2,253.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.02 : 6,149.16 = 1,503 : x
  2. Step 2: Convert to fraction form
    4,102.02/6,149.16 = 1,503/x
  3. Step 3: Cross multiply
    4,102.02x = 6,149.16 × 1,503
  4. Step 4: Simplify right side
    4,102.02x = 9,242,187.48
  5. Step 5: Solve for x
    x = 9,242,187.48/4,102.02
  6. Step 6: Final answer
    x = 2,253.08

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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.