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Finding the Fourth Proportional to 1,964.63, 2,947.40 and 577.98

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Solution

The fourth proportional to 1,964.63, 2,947.40 and 577.98 is: 867.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.63 : 2,947.40 = 577.98 : x
  2. Step 2: Convert to fraction form
    1,964.63/2,947.40 = 577.98/x
  3. Step 3: Cross multiply
    1,964.63x = 2,947.40 × 577.98
  4. Step 4: Simplify right side
    1,964.63x = 1,703,539.70
  5. Step 5: Solve for x
    x = 1,703,539.70/1,964.63
  6. Step 6: Final answer
    x = 867.10

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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.