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Finding the Fourth Proportional to 2,024.28, 3,037.14 and 984.60

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Solution

The fourth proportional to 2,024.28, 3,037.14 and 984.60 is: 1,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.28 : 3,037.14 = 984.60 : x
  2. Step 2: Convert to fraction form
    2,024.28/3,037.14 = 984.60/x
  3. Step 3: Cross multiply
    2,024.28x = 3,037.14 × 984.60
  4. Step 4: Simplify right side
    2,024.28x = 2,990,368.04
  5. Step 5: Solve for x
    x = 2,990,368.04/2,024.28
  6. Step 6: Final answer
    x = 1,477.25

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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.