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Finding the Fourth Proportional to 2,369.68, 3,269.25 and 1,483.94

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Solution

The fourth proportional to 2,369.68, 3,269.25 and 1,483.94 is: 2,047.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.68 : 3,269.25 = 1,483.94 : x
  2. Step 2: Convert to fraction form
    2,369.68/3,269.25 = 1,483.94/x
  3. Step 3: Cross multiply
    2,369.68x = 3,269.25 × 1,483.94
  4. Step 4: Simplify right side
    2,369.68x = 4,851,379.02
  5. Step 5: Solve for x
    x = 4,851,379.02/2,369.68
  6. Step 6: Final answer
    x = 2,047.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.