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Finding the Fourth Proportional to 1,677.88, 2,516.82 and 582.16

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Solution

The fourth proportional to 1,677.88, 2,516.82 and 582.16 is: 873.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.88 : 2,516.82 = 582.16 : x
  2. Step 2: Convert to fraction form
    1,677.88/2,516.82 = 582.16/x
  3. Step 3: Cross multiply
    1,677.88x = 2,516.82 × 582.16
  4. Step 4: Simplify right side
    1,677.88x = 1,465,191.93
  5. Step 5: Solve for x
    x = 1,465,191.93/1,677.88
  6. Step 6: Final answer
    x = 873.24

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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.