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Finding the Fourth Proportional to 2,830.90, 4,246.36 and 1,187

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Solution

The fourth proportional to 2,830.90, 4,246.36 and 1,187 is: 1,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.90 : 4,246.36 = 1,187 : x
  2. Step 2: Convert to fraction form
    2,830.90/4,246.36 = 1,187/x
  3. Step 3: Cross multiply
    2,830.90x = 4,246.36 × 1,187
  4. Step 4: Simplify right side
    2,830.90x = 5,040,429.32
  5. Step 5: Solve for x
    x = 5,040,429.32/2,830.90
  6. Step 6: Final answer
    x = 1,780.50

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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.