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Finding the Fourth Proportional to 1,752.08, 2,627.31 and 1,021.87

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Solution

The fourth proportional to 1,752.08, 2,627.31 and 1,021.87 is: 1,532.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.08 : 2,627.31 = 1,021.87 : x
  2. Step 2: Convert to fraction form
    1,752.08/2,627.31 = 1,021.87/x
  3. Step 3: Cross multiply
    1,752.08x = 2,627.31 × 1,021.87
  4. Step 4: Simplify right side
    1,752.08x = 2,684,769.27
  5. Step 5: Solve for x
    x = 2,684,769.27/1,752.08
  6. Step 6: Final answer
    x = 1,532.33

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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.