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Finding the Fourth Proportional to 1,964.52, 2,946.18 and 810

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Solution

The fourth proportional to 1,964.52, 2,946.18 and 810 is: 1,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.52 : 2,946.18 = 810 : x
  2. Step 2: Convert to fraction form
    1,964.52/2,946.18 = 810/x
  3. Step 3: Cross multiply
    1,964.52x = 2,946.18 × 810
  4. Step 4: Simplify right side
    1,964.52x = 2,386,405.80
  5. Step 5: Solve for x
    x = 2,386,405.80/1,964.52
  6. Step 6: Final answer
    x = 1,214.75

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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.