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Finding the Fourth Proportional to 2,362.86, 3,555.56 and 1,949.40

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Solution

The fourth proportional to 2,362.86, 3,555.56 and 1,949.40 is: 2,933.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.86 : 3,555.56 = 1,949.40 : x
  2. Step 2: Convert to fraction form
    2,362.86/3,555.56 = 1,949.40/x
  3. Step 3: Cross multiply
    2,362.86x = 3,555.56 × 1,949.40
  4. Step 4: Simplify right side
    2,362.86x = 6,931,208.66
  5. Step 5: Solve for x
    x = 6,931,208.66/2,362.86
  6. Step 6: Final answer
    x = 2,933.40

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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.