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Finding the Fourth Proportional to 2,890.54, 3,989.30 and 1,771.64

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Solution

The fourth proportional to 2,890.54, 3,989.30 and 1,771.64 is: 2,445.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.54 : 3,989.30 = 1,771.64 : x
  2. Step 2: Convert to fraction form
    2,890.54/3,989.30 = 1,771.64/x
  3. Step 3: Cross multiply
    2,890.54x = 3,989.30 × 1,771.64
  4. Step 4: Simplify right side
    2,890.54x = 7,067,574.65
  5. Step 5: Solve for x
    x = 7,067,574.65/2,890.54
  6. Step 6: Final answer
    x = 2,445.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.