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Finding the Fourth Proportional to 1,277.56, 1,903.37 and 1,225.72

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Solution

The fourth proportional to 1,277.56, 1,903.37 and 1,225.72 is: 1,826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.56 : 1,903.37 = 1,225.72 : x
  2. Step 2: Convert to fraction form
    1,277.56/1,903.37 = 1,225.72/x
  3. Step 3: Cross multiply
    1,277.56x = 1,903.37 × 1,225.72
  4. Step 4: Simplify right side
    1,277.56x = 2,332,998.68
  5. Step 5: Solve for x
    x = 2,332,998.68/1,277.56
  6. Step 6: Final answer
    x = 1,826.14

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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.