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Finding the Fourth Proportional to 2,017.48, 3,026.60 and 978.20

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Solution

The fourth proportional to 2,017.48, 3,026.60 and 978.20 is: 1,467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.48 : 3,026.60 = 978.20 : x
  2. Step 2: Convert to fraction form
    2,017.48/3,026.60 = 978.20/x
  3. Step 3: Cross multiply
    2,017.48x = 3,026.60 × 978.20
  4. Step 4: Simplify right side
    2,017.48x = 2,960,620.12
  5. Step 5: Solve for x
    x = 2,960,620.12/2,017.48
  6. Step 6: Final answer
    x = 1,467.48

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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.