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Finding the Fourth Proportional to 2,025.93, 3,037.10 and 985.35

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Solution

The fourth proportional to 2,025.93, 3,037.10 and 985.35 is: 1,477.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.93 : 3,037.10 = 985.35 : x
  2. Step 2: Convert to fraction form
    2,025.93/3,037.10 = 985.35/x
  3. Step 3: Cross multiply
    2,025.93x = 3,037.10 × 985.35
  4. Step 4: Simplify right side
    2,025.93x = 2,992,601.56
  5. Step 5: Solve for x
    x = 2,992,601.56/2,025.93
  6. Step 6: Final answer
    x = 1,477.15

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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.