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Finding the Fourth Proportional to 2,346.70, 3,238.41 and 1,284.46

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Solution

The fourth proportional to 2,346.70, 3,238.41 and 1,284.46 is: 1,772.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.70 : 3,238.41 = 1,284.46 : x
  2. Step 2: Convert to fraction form
    2,346.70/3,238.41 = 1,284.46/x
  3. Step 3: Cross multiply
    2,346.70x = 3,238.41 × 1,284.46
  4. Step 4: Simplify right side
    2,346.70x = 4,159,603.22
  5. Step 5: Solve for x
    x = 4,159,603.22/2,346.70
  6. Step 6: Final answer
    x = 1,772.54

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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.