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Finding the Fourth Proportional to 2,395.10, 3,595.02 and 1,961.50

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Solution

The fourth proportional to 2,395.10, 3,595.02 and 1,961.50 is: 2,944.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.10 : 3,595.02 = 1,961.50 : x
  2. Step 2: Convert to fraction form
    2,395.10/3,595.02 = 1,961.50/x
  3. Step 3: Cross multiply
    2,395.10x = 3,595.02 × 1,961.50
  4. Step 4: Simplify right side
    2,395.10x = 7,051,631.73
  5. Step 5: Solve for x
    x = 7,051,631.73/2,395.10
  6. Step 6: Final answer
    x = 2,944.19

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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.