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Finding the Fourth Proportional to 2,375.63, 3,564.17 and 1,683.65

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Solution

The fourth proportional to 2,375.63, 3,564.17 and 1,683.65 is: 2,525.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.63 : 3,564.17 = 1,683.65 : x
  2. Step 2: Convert to fraction form
    2,375.63/3,564.17 = 1,683.65/x
  3. Step 3: Cross multiply
    2,375.63x = 3,564.17 × 1,683.65
  4. Step 4: Simplify right side
    2,375.63x = 6,000,801.21
  5. Step 5: Solve for x
    x = 6,000,801.21/2,375.63
  6. Step 6: Final answer
    x = 2,525.98

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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.