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Finding the Fourth Proportional to 4,102.42, 6,152.46 and 1,603.18

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Solution

The fourth proportional to 4,102.42, 6,152.46 and 1,603.18 is: 2,404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.42 : 6,152.46 = 1,603.18 : x
  2. Step 2: Convert to fraction form
    4,102.42/6,152.46 = 1,603.18/x
  3. Step 3: Cross multiply
    4,102.42x = 6,152.46 × 1,603.18
  4. Step 4: Simplify right side
    4,102.42x = 9,863,500.82
  5. Step 5: Solve for x
    x = 9,863,500.82/4,102.42
  6. Step 6: Final answer
    x = 2,404.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.