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Finding the Fourth Proportional to 1,941.15, 2,678.83 and 1,057.00

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Solution

The fourth proportional to 1,941.15, 2,678.83 and 1,057.00 is: 1,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.15 : 2,678.83 = 1,057.00 : x
  2. Step 2: Convert to fraction form
    1,941.15/2,678.83 = 1,057.00/x
  3. Step 3: Cross multiply
    1,941.15x = 2,678.83 × 1,057.00
  4. Step 4: Simplify right side
    1,941.15x = 2,831,516.61
  5. Step 5: Solve for x
    x = 2,831,516.61/1,941.15
  6. Step 6: Final answer
    x = 1,458.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.