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Finding the Fourth Proportional to 1,393.64, 1,923.48 and 951.26

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Solution

The fourth proportional to 1,393.64, 1,923.48 and 951.26 is: 1,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.64 : 1,923.48 = 951.26 : x
  2. Step 2: Convert to fraction form
    1,393.64/1,923.48 = 951.26/x
  3. Step 3: Cross multiply
    1,393.64x = 1,923.48 × 951.26
  4. Step 4: Simplify right side
    1,393.64x = 1,829,729.58
  5. Step 5: Solve for x
    x = 1,829,729.58/1,393.64
  6. Step 6: Final answer
    x = 1,312.91

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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.