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Finding the Fourth Proportional to 1,381.65, 1,906.51 and 934.50

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Solution

The fourth proportional to 1,381.65, 1,906.51 and 934.50 is: 1,289.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.65 : 1,906.51 = 934.50 : x
  2. Step 2: Convert to fraction form
    1,381.65/1,906.51 = 934.50/x
  3. Step 3: Cross multiply
    1,381.65x = 1,906.51 × 934.50
  4. Step 4: Simplify right side
    1,381.65x = 1,781,619.39
  5. Step 5: Solve for x
    x = 1,781,619.39/1,381.65
  6. Step 6: Final answer
    x = 1,289.49

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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.