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Finding the Fourth Proportional to 4,035, 6,052.50 and 1,603

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Solution

The fourth proportional to 4,035, 6,052.50 and 1,603 is: 2,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,035 : 6,052.50 = 1,603 : x
  2. Step 2: Convert to fraction form
    4,035/6,052.50 = 1,603/x
  3. Step 3: Cross multiply
    4,035x = 6,052.50 × 1,603
  4. Step 4: Simplify right side
    4,035x = 9,702,157.50
  5. Step 5: Solve for x
    x = 9,702,157.50/4,035
  6. Step 6: Final answer
    x = 2,404.50

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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.