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Finding the Fourth Proportional to 1,937.40, 2,672.64 and 1,228.02

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Solution

The fourth proportional to 1,937.40, 2,672.64 and 1,228.02 is: 1,694.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.40 : 2,672.64 = 1,228.02 : x
  2. Step 2: Convert to fraction form
    1,937.40/2,672.64 = 1,228.02/x
  3. Step 3: Cross multiply
    1,937.40x = 2,672.64 × 1,228.02
  4. Step 4: Simplify right side
    1,937.40x = 3,282,055.37
  5. Step 5: Solve for x
    x = 3,282,055.37/1,937.40
  6. Step 6: Final answer
    x = 1,694.05

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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.