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Finding the Fourth Proportional to 2,346.63, 3,238.83 and 1,602.65

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Solution

The fourth proportional to 2,346.63, 3,238.83 and 1,602.65 is: 2,211.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.63 : 3,238.83 = 1,602.65 : x
  2. Step 2: Convert to fraction form
    2,346.63/3,238.83 = 1,602.65/x
  3. Step 3: Cross multiply
    2,346.63x = 3,238.83 × 1,602.65
  4. Step 4: Simplify right side
    2,346.63x = 5,190,694.71
  5. Step 5: Solve for x
    x = 5,190,694.71/2,346.63
  6. Step 6: Final answer
    x = 2,211.98

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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.