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Finding the Fourth Proportional to 2,052.40, 3,079.01 and 591.57

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Solution

The fourth proportional to 2,052.40, 3,079.01 and 591.57 is: 887.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.40 : 3,079.01 = 591.57 : x
  2. Step 2: Convert to fraction form
    2,052.40/3,079.01 = 591.57/x
  3. Step 3: Cross multiply
    2,052.40x = 3,079.01 × 591.57
  4. Step 4: Simplify right side
    2,052.40x = 1,821,431.59
  5. Step 5: Solve for x
    x = 1,821,431.59/2,052.40
  6. Step 6: Final answer
    x = 887.46

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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.