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Finding the Fourth Proportional to 2,233.28, 3,347.76 and 1,409

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Solution

The fourth proportional to 2,233.28, 3,347.76 and 1,409 is: 2,112.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.28 : 3,347.76 = 1,409 : x
  2. Step 2: Convert to fraction form
    2,233.28/3,347.76 = 1,409/x
  3. Step 3: Cross multiply
    2,233.28x = 3,347.76 × 1,409
  4. Step 4: Simplify right side
    2,233.28x = 4,716,993.84
  5. Step 5: Solve for x
    x = 4,716,993.84/2,233.28
  6. Step 6: Final answer
    x = 2,112.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.