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Finding the Fourth Proportional to 2,833.16, 3,907.08 and 2,361.64

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Solution

The fourth proportional to 2,833.16, 3,907.08 and 2,361.64 is: 3,256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.16 : 3,907.08 = 2,361.64 : x
  2. Step 2: Convert to fraction form
    2,833.16/3,907.08 = 2,361.64/x
  3. Step 3: Cross multiply
    2,833.16x = 3,907.08 × 2,361.64
  4. Step 4: Simplify right side
    2,833.16x = 9,227,106.64
  5. Step 5: Solve for x
    x = 9,227,106.64/2,833.16
  6. Step 6: Final answer
    x = 3,256.82

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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.