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Finding the Fourth Proportional to 1,393.52, 1,923.56 and 869.36

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Solution

The fourth proportional to 1,393.52, 1,923.56 and 869.36 is: 1,200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.52 : 1,923.56 = 869.36 : x
  2. Step 2: Convert to fraction form
    1,393.52/1,923.56 = 869.36/x
  3. Step 3: Cross multiply
    1,393.52x = 1,923.56 × 869.36
  4. Step 4: Simplify right side
    1,393.52x = 1,672,266.12
  5. Step 5: Solve for x
    x = 1,672,266.12/1,393.52
  6. Step 6: Final answer
    x = 1,200.03

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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.