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Finding the Fourth Proportional to 2,123.52, 3,186.84 and 1,392.84

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Solution

The fourth proportional to 2,123.52, 3,186.84 and 1,392.84 is: 2,090.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.52 : 3,186.84 = 1,392.84 : x
  2. Step 2: Convert to fraction form
    2,123.52/3,186.84 = 1,392.84/x
  3. Step 3: Cross multiply
    2,123.52x = 3,186.84 × 1,392.84
  4. Step 4: Simplify right side
    2,123.52x = 4,438,758.23
  5. Step 5: Solve for x
    x = 4,438,758.23/2,123.52
  6. Step 6: Final answer
    x = 2,090.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.