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Finding the Fourth Proportional to 2,356.71, 3,252.14 and 1,362.30

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Solution

The fourth proportional to 2,356.71, 3,252.14 and 1,362.30 is: 1,879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.71 : 3,252.14 = 1,362.30 : x
  2. Step 2: Convert to fraction form
    2,356.71/3,252.14 = 1,362.30/x
  3. Step 3: Cross multiply
    2,356.71x = 3,252.14 × 1,362.30
  4. Step 4: Simplify right side
    2,356.71x = 4,430,383.51
  5. Step 5: Solve for x
    x = 4,430,383.51/2,356.71
  6. Step 6: Final answer
    x = 1,879.90

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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.