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Finding the Fourth Proportional to 1,986.76, 2,980.46 and 670.63

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Solution

The fourth proportional to 1,986.76, 2,980.46 and 670.63 is: 1,006.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.76 : 2,980.46 = 670.63 : x
  2. Step 2: Convert to fraction form
    1,986.76/2,980.46 = 670.63/x
  3. Step 3: Cross multiply
    1,986.76x = 2,980.46 × 670.63
  4. Step 4: Simplify right side
    1,986.76x = 1,998,785.89
  5. Step 5: Solve for x
    x = 1,998,785.89/1,986.76
  6. Step 6: Final answer
    x = 1,006.05

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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.