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Finding the Fourth Proportional to 2,362, 3,259.56 and 1,314.32

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Solution

The fourth proportional to 2,362, 3,259.56 and 1,314.32 is: 1,813.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362 : 3,259.56 = 1,314.32 : x
  2. Step 2: Convert to fraction form
    2,362/3,259.56 = 1,314.32/x
  3. Step 3: Cross multiply
    2,362x = 3,259.56 × 1,314.32
  4. Step 4: Simplify right side
    2,362x = 4,284,104.90
  5. Step 5: Solve for x
    x = 4,284,104.90/2,362
  6. Step 6: Final answer
    x = 1,813.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.