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Finding the Fourth Proportional to 1,982.56, 2,973.80 and 595.90

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Solution

The fourth proportional to 1,982.56, 2,973.80 and 595.90 is: 893.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.56 : 2,973.80 = 595.90 : x
  2. Step 2: Convert to fraction form
    1,982.56/2,973.80 = 595.90/x
  3. Step 3: Cross multiply
    1,982.56x = 2,973.80 × 595.90
  4. Step 4: Simplify right side
    1,982.56x = 1,772,087.42
  5. Step 5: Solve for x
    x = 1,772,087.42/1,982.56
  6. Step 6: Final answer
    x = 893.84

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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.