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Finding the Fourth Proportional to 1,893.57, 2,840.76 and 957.03

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Solution

The fourth proportional to 1,893.57, 2,840.76 and 957.03 is: 1,435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.57 : 2,840.76 = 957.03 : x
  2. Step 2: Convert to fraction form
    1,893.57/2,840.76 = 957.03/x
  3. Step 3: Cross multiply
    1,893.57x = 2,840.76 × 957.03
  4. Step 4: Simplify right side
    1,893.57x = 2,718,692.54
  5. Step 5: Solve for x
    x = 2,718,692.54/1,893.57
  6. Step 6: Final answer
    x = 1,435.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.