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Finding the Fourth Proportional to 1,962.63, 2,941.87 and 986.68

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Solution

The fourth proportional to 1,962.63, 2,941.87 and 986.68 is: 1,478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.63 : 2,941.87 = 986.68 : x
  2. Step 2: Convert to fraction form
    1,962.63/2,941.87 = 986.68/x
  3. Step 3: Cross multiply
    1,962.63x = 2,941.87 × 986.68
  4. Step 4: Simplify right side
    1,962.63x = 2,902,687.35
  5. Step 5: Solve for x
    x = 2,902,687.35/1,962.63
  6. Step 6: Final answer
    x = 1,478.98

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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.