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Finding the Fourth Proportional to 1,264.37, 1,903.39 and 1,137.22

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Solution

The fourth proportional to 1,264.37, 1,903.39 and 1,137.22 is: 1,711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.37 : 1,903.39 = 1,137.22 : x
  2. Step 2: Convert to fraction form
    1,264.37/1,903.39 = 1,137.22/x
  3. Step 3: Cross multiply
    1,264.37x = 1,903.39 × 1,137.22
  4. Step 4: Simplify right side
    1,264.37x = 2,164,572.71
  5. Step 5: Solve for x
    x = 2,164,572.71/1,264.37
  6. Step 6: Final answer
    x = 1,711.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.