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Finding the Fourth Proportional to 1,677.86, 2,516.16 and 582.02

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Solution

The fourth proportional to 1,677.86, 2,516.16 and 582.02 is: 872.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.86 : 2,516.16 = 582.02 : x
  2. Step 2: Convert to fraction form
    1,677.86/2,516.16 = 582.02/x
  3. Step 3: Cross multiply
    1,677.86x = 2,516.16 × 582.02
  4. Step 4: Simplify right side
    1,677.86x = 1,464,455.44
  5. Step 5: Solve for x
    x = 1,464,455.44/1,677.86
  6. Step 6: Final answer
    x = 872.81

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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.