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Finding the Fourth Proportional to 2,043.04, 3,064.48 and 582

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Solution

The fourth proportional to 2,043.04, 3,064.48 and 582 is: 872.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.04 : 3,064.48 = 582 : x
  2. Step 2: Convert to fraction form
    2,043.04/3,064.48 = 582/x
  3. Step 3: Cross multiply
    2,043.04x = 3,064.48 × 582
  4. Step 4: Simplify right side
    2,043.04x = 1,783,527.36
  5. Step 5: Solve for x
    x = 1,783,527.36/2,043.04
  6. Step 6: Final answer
    x = 872.98

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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.