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Finding the Fourth Proportional to 1,964.86, 2,946.80 and 577.92

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Solution

The fourth proportional to 1,964.86, 2,946.80 and 577.92 is: 866.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.86 : 2,946.80 = 577.92 : x
  2. Step 2: Convert to fraction form
    1,964.86/2,946.80 = 577.92/x
  3. Step 3: Cross multiply
    1,964.86x = 2,946.80 × 577.92
  4. Step 4: Simplify right side
    1,964.86x = 1,703,014.66
  5. Step 5: Solve for x
    x = 1,703,014.66/1,964.86
  6. Step 6: Final answer
    x = 866.74

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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.