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Finding the Fourth Proportional to 2,455.99, 3,684.89 and 1,140.38

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Solution

The fourth proportional to 2,455.99, 3,684.89 and 1,140.38 is: 1,710.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.99 : 3,684.89 = 1,140.38 : x
  2. Step 2: Convert to fraction form
    2,455.99/3,684.89 = 1,140.38/x
  3. Step 3: Cross multiply
    2,455.99x = 3,684.89 × 1,140.38
  4. Step 4: Simplify right side
    2,455.99x = 4,202,173.10
  5. Step 5: Solve for x
    x = 4,202,173.10/2,455.99
  6. Step 6: Final answer
    x = 1,710.99

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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.