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Finding the Fourth Proportional to 2,375.51, 3,563.98 and 1,683.51

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Solution

The fourth proportional to 2,375.51, 3,563.98 and 1,683.51 is: 2,525.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.51 : 3,563.98 = 1,683.51 : x
  2. Step 2: Convert to fraction form
    2,375.51/3,563.98 = 1,683.51/x
  3. Step 3: Cross multiply
    2,375.51x = 3,563.98 × 1,683.51
  4. Step 4: Simplify right side
    2,375.51x = 5,999,987.55
  5. Step 5: Solve for x
    x = 5,999,987.55/2,375.51
  6. Step 6: Final answer
    x = 2,525.77

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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.