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Finding the Fourth Proportional to 1,986.64, 2,982.12 and 1,362.40

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Solution

The fourth proportional to 1,986.64, 2,982.12 and 1,362.40 is: 2,045.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.64 : 2,982.12 = 1,362.40 : x
  2. Step 2: Convert to fraction form
    1,986.64/2,982.12 = 1,362.40/x
  3. Step 3: Cross multiply
    1,986.64x = 2,982.12 × 1,362.40
  4. Step 4: Simplify right side
    1,986.64x = 4,062,840.29
  5. Step 5: Solve for x
    x = 4,062,840.29/1,986.64
  6. Step 6: Final answer
    x = 2,045.08

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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.