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Finding the Fourth Proportional to 1,982.04, 2,973.48 and 595.44

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Solution

The fourth proportional to 1,982.04, 2,973.48 and 595.44 is: 893.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.04 : 2,973.48 = 595.44 : x
  2. Step 2: Convert to fraction form
    1,982.04/2,973.48 = 595.44/x
  3. Step 3: Cross multiply
    1,982.04x = 2,973.48 × 595.44
  4. Step 4: Simplify right side
    1,982.04x = 1,770,528.93
  5. Step 5: Solve for x
    x = 1,770,528.93/1,982.04
  6. Step 6: Final answer
    x = 893.29

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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.