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Finding the Fourth Proportional to 2,050.64, 3,076.50 and 589.88

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Solution

The fourth proportional to 2,050.64, 3,076.50 and 589.88 is: 884.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.64 : 3,076.50 = 589.88 : x
  2. Step 2: Convert to fraction form
    2,050.64/3,076.50 = 589.88/x
  3. Step 3: Cross multiply
    2,050.64x = 3,076.50 × 589.88
  4. Step 4: Simplify right side
    2,050.64x = 1,814,765.82
  5. Step 5: Solve for x
    x = 1,814,765.82/2,050.64
  6. Step 6: Final answer
    x = 884.98

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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.