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Finding the Fourth Proportional to 2,882.00, 4,323.90 and 907.55

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Solution

The fourth proportional to 2,882.00, 4,323.90 and 907.55 is: 1,361.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.00 : 4,323.90 = 907.55 : x
  2. Step 2: Convert to fraction form
    2,882.00/4,323.90 = 907.55/x
  3. Step 3: Cross multiply
    2,882.00x = 4,323.90 × 907.55
  4. Step 4: Simplify right side
    2,882.00x = 3,924,133.83
  5. Step 5: Solve for x
    x = 3,924,133.83/2,882.00
  6. Step 6: Final answer
    x = 1,361.60

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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.