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Finding the Fourth Proportional to 2,381.51, 3,268.88 and 2,280.03

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Solution

The fourth proportional to 2,381.51, 3,268.88 and 2,280.03 is: 3,129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.51 : 3,268.88 = 2,280.03 : x
  2. Step 2: Convert to fraction form
    2,381.51/3,268.88 = 2,280.03/x
  3. Step 3: Cross multiply
    2,381.51x = 3,268.88 × 2,280.03
  4. Step 4: Simplify right side
    2,381.51x = 7,453,133.07
  5. Step 5: Solve for x
    x = 7,453,133.07/2,381.51
  6. Step 6: Final answer
    x = 3,129.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.