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Finding the Fourth Proportional to 1,364.67, 1,881.06 and 921.81

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Solution

The fourth proportional to 1,364.67, 1,881.06 and 921.81 is: 1,270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.67 : 1,881.06 = 921.81 : x
  2. Step 2: Convert to fraction form
    1,364.67/1,881.06 = 921.81/x
  3. Step 3: Cross multiply
    1,364.67x = 1,881.06 × 921.81
  4. Step 4: Simplify right side
    1,364.67x = 1,733,979.92
  5. Step 5: Solve for x
    x = 1,733,979.92/1,364.67
  6. Step 6: Final answer
    x = 1,270.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.