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Finding the Fourth Proportional to 2,135.02, 2,946.41 and 1,203.50

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Solution

The fourth proportional to 2,135.02, 2,946.41 and 1,203.50 is: 1,660.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.02 : 2,946.41 = 1,203.50 : x
  2. Step 2: Convert to fraction form
    2,135.02/2,946.41 = 1,203.50/x
  3. Step 3: Cross multiply
    2,135.02x = 2,946.41 × 1,203.50
  4. Step 4: Simplify right side
    2,135.02x = 3,546,004.44
  5. Step 5: Solve for x
    x = 3,546,004.44/2,135.02
  6. Step 6: Final answer
    x = 1,660.88

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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.