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Finding the Fourth Proportional to 2,677.80, 4,017.48 and 946.56

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Solution

The fourth proportional to 2,677.80, 4,017.48 and 946.56 is: 1,420.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.80 : 4,017.48 = 946.56 : x
  2. Step 2: Convert to fraction form
    2,677.80/4,017.48 = 946.56/x
  3. Step 3: Cross multiply
    2,677.80x = 4,017.48 × 946.56
  4. Step 4: Simplify right side
    2,677.80x = 3,802,785.87
  5. Step 5: Solve for x
    x = 3,802,785.87/2,677.80
  6. Step 6: Final answer
    x = 1,420.12

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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.