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Finding the Fourth Proportional to 3,456.02, 4,769.40 and 1,964

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Solution

The fourth proportional to 3,456.02, 4,769.40 and 1,964 is: 2,710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.02 : 4,769.40 = 1,964 : x
  2. Step 2: Convert to fraction form
    3,456.02/4,769.40 = 1,964/x
  3. Step 3: Cross multiply
    3,456.02x = 4,769.40 × 1,964
  4. Step 4: Simplify right side
    3,456.02x = 9,367,101.60
  5. Step 5: Solve for x
    x = 9,367,101.60/3,456.02
  6. Step 6: Final answer
    x = 2,710.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.