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Finding the Fourth Proportional to 1,643.48, 2,266.14 and 1,224.56

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Solution

The fourth proportional to 1,643.48, 2,266.14 and 1,224.56 is: 1,688.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.48 : 2,266.14 = 1,224.56 : x
  2. Step 2: Convert to fraction form
    1,643.48/2,266.14 = 1,224.56/x
  3. Step 3: Cross multiply
    1,643.48x = 2,266.14 × 1,224.56
  4. Step 4: Simplify right side
    1,643.48x = 2,775,024.40
  5. Step 5: Solve for x
    x = 2,775,024.40/1,643.48
  6. Step 6: Final answer
    x = 1,688.51

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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.