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Finding the Fourth Proportional to 1,977.22, 2,964.90 and 590.02

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Solution

The fourth proportional to 1,977.22, 2,964.90 and 590.02 is: 884.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.22 : 2,964.90 = 590.02 : x
  2. Step 2: Convert to fraction form
    1,977.22/2,964.90 = 590.02/x
  3. Step 3: Cross multiply
    1,977.22x = 2,964.90 × 590.02
  4. Step 4: Simplify right side
    1,977.22x = 1,749,350.30
  5. Step 5: Solve for x
    x = 1,749,350.30/1,977.22
  6. Step 6: Final answer
    x = 884.75

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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.