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Finding the Fourth Proportional to 2,053.14, 3,078.56 and 666.16

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Solution

The fourth proportional to 2,053.14, 3,078.56 and 666.16 is: 998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.14 : 3,078.56 = 666.16 : x
  2. Step 2: Convert to fraction form
    2,053.14/3,078.56 = 666.16/x
  3. Step 3: Cross multiply
    2,053.14x = 3,078.56 × 666.16
  4. Step 4: Simplify right side
    2,053.14x = 2,050,813.53
  5. Step 5: Solve for x
    x = 2,050,813.53/2,053.14
  6. Step 6: Final answer
    x = 998.87

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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.