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Finding the Fourth Proportional to 2,271.87, 3,406.77 and 884.16

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Solution

The fourth proportional to 2,271.87, 3,406.77 and 884.16 is: 1,325.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.87 : 3,406.77 = 884.16 : x
  2. Step 2: Convert to fraction form
    2,271.87/3,406.77 = 884.16/x
  3. Step 3: Cross multiply
    2,271.87x = 3,406.77 × 884.16
  4. Step 4: Simplify right side
    2,271.87x = 3,012,129.76
  5. Step 5: Solve for x
    x = 3,012,129.76/2,271.87
  6. Step 6: Final answer
    x = 1,325.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.