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Finding the Fourth Proportional to 2,025.64, 3,037.41 and 985

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Solution

The fourth proportional to 2,025.64, 3,037.41 and 985 is: 1,476.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.64 : 3,037.41 = 985 : x
  2. Step 2: Convert to fraction form
    2,025.64/3,037.41 = 985/x
  3. Step 3: Cross multiply
    2,025.64x = 3,037.41 × 985
  4. Step 4: Simplify right side
    2,025.64x = 2,991,848.85
  5. Step 5: Solve for x
    x = 2,991,848.85/2,025.64
  6. Step 6: Final answer
    x = 1,476.99

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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.