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Finding the Fourth Proportional to 2,505.09, 3,458.29 and 2,369.42

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Solution

The fourth proportional to 2,505.09, 3,458.29 and 2,369.42 is: 3,271.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.09 : 3,458.29 = 2,369.42 : x
  2. Step 2: Convert to fraction form
    2,505.09/3,458.29 = 2,369.42/x
  3. Step 3: Cross multiply
    2,505.09x = 3,458.29 × 2,369.42
  4. Step 4: Simplify right side
    2,505.09x = 8,194,141.49
  5. Step 5: Solve for x
    x = 8,194,141.49/2,505.09
  6. Step 6: Final answer
    x = 3,271.00

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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.