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Finding the Fourth Proportional to 2,224.68, 3,335.40 and 1,069.08

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Solution

The fourth proportional to 2,224.68, 3,335.40 and 1,069.08 is: 1,602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.68 : 3,335.40 = 1,069.08 : x
  2. Step 2: Convert to fraction form
    2,224.68/3,335.40 = 1,069.08/x
  3. Step 3: Cross multiply
    2,224.68x = 3,335.40 × 1,069.08
  4. Step 4: Simplify right side
    2,224.68x = 3,565,809.43
  5. Step 5: Solve for x
    x = 3,565,809.43/2,224.68
  6. Step 6: Final answer
    x = 1,602.84

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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.