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Finding the Fourth Proportional to 1,941.94, 2,900.50 and 1,682.74

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Solution

The fourth proportional to 1,941.94, 2,900.50 and 1,682.74 is: 2,513.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.94 : 2,900.50 = 1,682.74 : x
  2. Step 2: Convert to fraction form
    1,941.94/2,900.50 = 1,682.74/x
  3. Step 3: Cross multiply
    1,941.94x = 2,900.50 × 1,682.74
  4. Step 4: Simplify right side
    1,941.94x = 4,880,787.37
  5. Step 5: Solve for x
    x = 4,880,787.37/1,941.94
  6. Step 6: Final answer
    x = 2,513.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.