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Finding the Fourth Proportional to 1,782.36, 2,678.19 and 1,671.66

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Solution

The fourth proportional to 1,782.36, 2,678.19 and 1,671.66 is: 2,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.36 : 2,678.19 = 1,671.66 : x
  2. Step 2: Convert to fraction form
    1,782.36/2,678.19 = 1,671.66/x
  3. Step 3: Cross multiply
    1,782.36x = 2,678.19 × 1,671.66
  4. Step 4: Simplify right side
    1,782.36x = 4,477,023.10
  5. Step 5: Solve for x
    x = 4,477,023.10/1,782.36
  6. Step 6: Final answer
    x = 2,511.85

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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.