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Finding the Fourth Proportional to 2,043.74, 3,065.58 and 582.90

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Solution

The fourth proportional to 2,043.74, 3,065.58 and 582.90 is: 874.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.74 : 3,065.58 = 582.90 : x
  2. Step 2: Convert to fraction form
    2,043.74/3,065.58 = 582.90/x
  3. Step 3: Cross multiply
    2,043.74x = 3,065.58 × 582.90
  4. Step 4: Simplify right side
    2,043.74x = 1,786,926.58
  5. Step 5: Solve for x
    x = 1,786,926.58/2,043.74
  6. Step 6: Final answer
    x = 874.34

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