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Finding the Fourth Proportional to 1,391.64, 1,921.74 and 895.44

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Solution

The fourth proportional to 1,391.64, 1,921.74 and 895.44 is: 1,236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.64 : 1,921.74 = 895.44 : x
  2. Step 2: Convert to fraction form
    1,391.64/1,921.74 = 895.44/x
  3. Step 3: Cross multiply
    1,391.64x = 1,921.74 × 895.44
  4. Step 4: Simplify right side
    1,391.64x = 1,720,802.87
  5. Step 5: Solve for x
    x = 1,720,802.87/1,391.64
  6. Step 6: Final answer
    x = 1,236.53

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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.