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Finding the Fourth Proportional to 2,118.40, 3,170.40 and 1,859.20

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Solution

The fourth proportional to 2,118.40, 3,170.40 and 1,859.20 is: 2,782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.40 : 3,170.40 = 1,859.20 : x
  2. Step 2: Convert to fraction form
    2,118.40/3,170.40 = 1,859.20/x
  3. Step 3: Cross multiply
    2,118.40x = 3,170.40 × 1,859.20
  4. Step 4: Simplify right side
    2,118.40x = 5,894,407.68
  5. Step 5: Solve for x
    x = 5,894,407.68/2,118.40
  6. Step 6: Final answer
    x = 2,782.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.