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Finding the Fourth Proportional to 2,015.40, 3,024.06 and 1,583.40

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Solution

The fourth proportional to 2,015.40, 3,024.06 and 1,583.40 is: 2,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.40 : 3,024.06 = 1,583.40 : x
  2. Step 2: Convert to fraction form
    2,015.40/3,024.06 = 1,583.40/x
  3. Step 3: Cross multiply
    2,015.40x = 3,024.06 × 1,583.40
  4. Step 4: Simplify right side
    2,015.40x = 4,788,296.60
  5. Step 5: Solve for x
    x = 4,788,296.60/2,015.40
  6. Step 6: Final answer
    x = 2,375.85

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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.