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Finding the Fourth Proportional to 2,049.64, 3,075 and 588.92

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Solution

The fourth proportional to 2,049.64, 3,075 and 588.92 is: 883.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.64 : 3,075 = 588.92 : x
  2. Step 2: Convert to fraction form
    2,049.64/3,075 = 588.92/x
  3. Step 3: Cross multiply
    2,049.64x = 3,075 × 588.92
  4. Step 4: Simplify right side
    2,049.64x = 1,810,929.00
  5. Step 5: Solve for x
    x = 1,810,929.00/2,049.64
  6. Step 6: Final answer
    x = 883.54

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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.