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Finding the Fourth Proportional to 1,996.40, 2,987.40 and 1,348.40

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Solution

The fourth proportional to 1,996.40, 2,987.40 and 1,348.40 is: 2,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.40 : 2,987.40 = 1,348.40 : x
  2. Step 2: Convert to fraction form
    1,996.40/2,987.40 = 1,348.40/x
  3. Step 3: Cross multiply
    1,996.40x = 2,987.40 × 1,348.40
  4. Step 4: Simplify right side
    1,996.40x = 4,028,210.16
  5. Step 5: Solve for x
    x = 4,028,210.16/1,996.40
  6. Step 6: Final answer
    x = 2,017.74

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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.