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Finding the Fourth Proportional to 1,985.66, 2,980.31 and 1,012.44

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Solution

The fourth proportional to 1,985.66, 2,980.31 and 1,012.44 is: 1,519.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.66 : 2,980.31 = 1,012.44 : x
  2. Step 2: Convert to fraction form
    1,985.66/2,980.31 = 1,012.44/x
  3. Step 3: Cross multiply
    1,985.66x = 2,980.31 × 1,012.44
  4. Step 4: Simplify right side
    1,985.66x = 3,017,379.99
  5. Step 5: Solve for x
    x = 3,017,379.99/1,985.66
  6. Step 6: Final answer
    x = 1,519.59

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1.5x scale

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.