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Finding the Fourth Proportional to 1,381.93, 1,906.32 and 910.15

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Solution

The fourth proportional to 1,381.93, 1,906.32 and 910.15 is: 1,255.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.93 : 1,906.32 = 910.15 : x
  2. Step 2: Convert to fraction form
    1,381.93/1,906.32 = 910.15/x
  3. Step 3: Cross multiply
    1,381.93x = 1,906.32 × 910.15
  4. Step 4: Simplify right side
    1,381.93x = 1,735,037.15
  5. Step 5: Solve for x
    x = 1,735,037.15/1,381.93
  6. Step 6: Final answer
    x = 1,255.52

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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.