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Finding the Fourth Proportional to 1,584.36, 2,372.49 and 935.55

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Solution

The fourth proportional to 1,584.36, 2,372.49 and 935.55 is: 1,400.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.36 : 2,372.49 = 935.55 : x
  2. Step 2: Convert to fraction form
    1,584.36/2,372.49 = 935.55/x
  3. Step 3: Cross multiply
    1,584.36x = 2,372.49 × 935.55
  4. Step 4: Simplify right side
    1,584.36x = 2,219,583.02
  5. Step 5: Solve for x
    x = 2,219,583.02/1,584.36
  6. Step 6: Final answer
    x = 1,400.93

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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.