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Finding the Fourth Proportional to 3,100.01, 4,650.70 and 1,019.93

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Solution

The fourth proportional to 3,100.01, 4,650.70 and 1,019.93 is: 1,530.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.01 : 4,650.70 = 1,019.93 : x
  2. Step 2: Convert to fraction form
    3,100.01/4,650.70 = 1,019.93/x
  3. Step 3: Cross multiply
    3,100.01x = 4,650.70 × 1,019.93
  4. Step 4: Simplify right side
    3,100.01x = 4,743,388.45
  5. Step 5: Solve for x
    x = 4,743,388.45/3,100.01
  6. Step 6: Final answer
    x = 1,530.12

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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.