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Finding the Fourth Proportional to 1,651.55, 2,476.78 and 677.93

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Solution

The fourth proportional to 1,651.55, 2,476.78 and 677.93 is: 1,016.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.55 : 2,476.78 = 677.93 : x
  2. Step 2: Convert to fraction form
    1,651.55/2,476.78 = 677.93/x
  3. Step 3: Cross multiply
    1,651.55x = 2,476.78 × 677.93
  4. Step 4: Simplify right side
    1,651.55x = 1,679,069.39
  5. Step 5: Solve for x
    x = 1,679,069.39/1,651.55
  6. Step 6: Final answer
    x = 1,016.67

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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.