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Finding the Fourth Proportional to 2,677.98, 4,017.15 and 946.02

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Solution

The fourth proportional to 2,677.98, 4,017.15 and 946.02 is: 1,419.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.98 : 4,017.15 = 946.02 : x
  2. Step 2: Convert to fraction form
    2,677.98/4,017.15 = 946.02/x
  3. Step 3: Cross multiply
    2,677.98x = 4,017.15 × 946.02
  4. Step 4: Simplify right side
    2,677.98x = 3,800,304.24
  5. Step 5: Solve for x
    x = 3,800,304.24/2,677.98
  6. Step 6: Final answer
    x = 1,419.09

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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.