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Finding the Fourth Proportional to 2,314.89, 3,484.73 and 2,076.75

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Solution

The fourth proportional to 2,314.89, 3,484.73 and 2,076.75 is: 3,126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.89 : 3,484.73 = 2,076.75 : x
  2. Step 2: Convert to fraction form
    2,314.89/3,484.73 = 2,076.75/x
  3. Step 3: Cross multiply
    2,314.89x = 3,484.73 × 2,076.75
  4. Step 4: Simplify right side
    2,314.89x = 7,236,918.22
  5. Step 5: Solve for x
    x = 7,236,918.22/2,314.89
  6. Step 6: Final answer
    x = 3,126.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.