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Finding the Fourth Proportional to 2,128.87, 3,193.24 and 526.02

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Solution

The fourth proportional to 2,128.87, 3,193.24 and 526.02 is: 789.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.87 : 3,193.24 = 526.02 : x
  2. Step 2: Convert to fraction form
    2,128.87/3,193.24 = 526.02/x
  3. Step 3: Cross multiply
    2,128.87x = 3,193.24 × 526.02
  4. Step 4: Simplify right side
    2,128.87x = 1,679,708.10
  5. Step 5: Solve for x
    x = 1,679,708.10/2,128.87
  6. Step 6: Final answer
    x = 789.01

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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.