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Finding the Fourth Proportional to 1,224.68, 1,693.14 and 1,172.84

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Solution

The fourth proportional to 1,224.68, 1,693.14 and 1,172.84 is: 1,621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.68 : 1,693.14 = 1,172.84 : x
  2. Step 2: Convert to fraction form
    1,224.68/1,693.14 = 1,172.84/x
  3. Step 3: Cross multiply
    1,224.68x = 1,693.14 × 1,172.84
  4. Step 4: Simplify right side
    1,224.68x = 1,985,782.32
  5. Step 5: Solve for x
    x = 1,985,782.32/1,224.68
  6. Step 6: Final answer
    x = 1,621.47

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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.