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Finding the Fourth Proportional to 2,043.72, 3,066.08 and 582.88

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Solution

The fourth proportional to 2,043.72, 3,066.08 and 582.88 is: 874.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.72 : 3,066.08 = 582.88 : x
  2. Step 2: Convert to fraction form
    2,043.72/3,066.08 = 582.88/x
  3. Step 3: Cross multiply
    2,043.72x = 3,066.08 × 582.88
  4. Step 4: Simplify right side
    2,043.72x = 1,787,156.71
  5. Step 5: Solve for x
    x = 1,787,156.71/2,043.72
  6. Step 6: Final answer
    x = 874.46

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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.