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Finding the Fourth Proportional to 1,725.01, 2,584.12 and 1,138.22

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Solution

The fourth proportional to 1,725.01, 2,584.12 and 1,138.22 is: 1,705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.01 : 2,584.12 = 1,138.22 : x
  2. Step 2: Convert to fraction form
    1,725.01/2,584.12 = 1,138.22/x
  3. Step 3: Cross multiply
    1,725.01x = 2,584.12 × 1,138.22
  4. Step 4: Simplify right side
    1,725.01x = 2,941,278.45
  5. Step 5: Solve for x
    x = 2,941,278.45/1,725.01
  6. Step 6: Final answer
    x = 1,705.08

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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.