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Finding the Fourth Proportional to 1,725.24, 2,588.93 and 800.93

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Solution

The fourth proportional to 1,725.24, 2,588.93 and 800.93 is: 1,201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.24 : 2,588.93 = 800.93 : x
  2. Step 2: Convert to fraction form
    1,725.24/2,588.93 = 800.93/x
  3. Step 3: Cross multiply
    1,725.24x = 2,588.93 × 800.93
  4. Step 4: Simplify right side
    1,725.24x = 2,073,551.70
  5. Step 5: Solve for x
    x = 2,073,551.70/1,725.24
  6. Step 6: Final answer
    x = 1,201.89

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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.