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Finding the Fourth Proportional to 2,037.14, 3,054.62 and 650.10

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Solution

The fourth proportional to 2,037.14, 3,054.62 and 650.10 is: 974.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.14 : 3,054.62 = 650.10 : x
  2. Step 2: Convert to fraction form
    2,037.14/3,054.62 = 650.10/x
  3. Step 3: Cross multiply
    2,037.14x = 3,054.62 × 650.10
  4. Step 4: Simplify right side
    2,037.14x = 1,985,808.46
  5. Step 5: Solve for x
    x = 1,985,808.46/2,037.14
  6. Step 6: Final answer
    x = 974.80

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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.