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Finding the Fourth Proportional to 1,725.63, 2,588.46 and 571.38

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Solution

The fourth proportional to 1,725.63, 2,588.46 and 571.38 is: 857.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.63 : 2,588.46 = 571.38 : x
  2. Step 2: Convert to fraction form
    1,725.63/2,588.46 = 571.38/x
  3. Step 3: Cross multiply
    1,725.63x = 2,588.46 × 571.38
  4. Step 4: Simplify right side
    1,725.63x = 1,478,994.27
  5. Step 5: Solve for x
    x = 1,478,994.27/1,725.63
  6. Step 6: Final answer
    x = 857.07

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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.