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Finding the Fourth Proportional to 2,338.54, 3,227.25 and 1,406.50

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Solution

The fourth proportional to 2,338.54, 3,227.25 and 1,406.50 is: 1,941.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.54 : 3,227.25 = 1,406.50 : x
  2. Step 2: Convert to fraction form
    2,338.54/3,227.25 = 1,406.50/x
  3. Step 3: Cross multiply
    2,338.54x = 3,227.25 × 1,406.50
  4. Step 4: Simplify right side
    2,338.54x = 4,539,127.13
  5. Step 5: Solve for x
    x = 4,539,127.13/2,338.54
  6. Step 6: Final answer
    x = 1,941.01

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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.