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Finding the Fourth Proportional to 2,043.14, 3,065.16 and 582.41

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Solution

The fourth proportional to 2,043.14, 3,065.16 and 582.41 is: 873.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.14 : 3,065.16 = 582.41 : x
  2. Step 2: Convert to fraction form
    2,043.14/3,065.16 = 582.41/x
  3. Step 3: Cross multiply
    2,043.14x = 3,065.16 × 582.41
  4. Step 4: Simplify right side
    2,043.14x = 1,785,164.51
  5. Step 5: Solve for x
    x = 1,785,164.51/2,043.14
  6. Step 6: Final answer
    x = 873.74

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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.