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Finding the Fourth Proportional to 1,964.02, 2,945.80 and 577.37

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Solution

The fourth proportional to 1,964.02, 2,945.80 and 577.37 is: 865.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.02 : 2,945.80 = 577.37 : x
  2. Step 2: Convert to fraction form
    1,964.02/2,945.80 = 577.37/x
  3. Step 3: Cross multiply
    1,964.02x = 2,945.80 × 577.37
  4. Step 4: Simplify right side
    1,964.02x = 1,700,816.55
  5. Step 5: Solve for x
    x = 1,700,816.55/1,964.02
  6. Step 6: Final answer
    x = 865.99

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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.