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Finding the Fourth Proportional to 2,980.70, 4,114.02 and 1,986.02

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Solution

The fourth proportional to 2,980.70, 4,114.02 and 1,986.02 is: 2,741.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.70 : 4,114.02 = 1,986.02 : x
  2. Step 2: Convert to fraction form
    2,980.70/4,114.02 = 1,986.02/x
  3. Step 3: Cross multiply
    2,980.70x = 4,114.02 × 1,986.02
  4. Step 4: Simplify right side
    2,980.70x = 8,170,526.00
  5. Step 5: Solve for x
    x = 8,170,526.00/2,980.70
  6. Step 6: Final answer
    x = 2,741.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.