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Finding the Fourth Proportional to 1,963.95, 2,946.29 and 868.35

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Solution

The fourth proportional to 1,963.95, 2,946.29 and 868.35 is: 1,302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.95 : 2,946.29 = 868.35 : x
  2. Step 2: Convert to fraction form
    1,963.95/2,946.29 = 868.35/x
  3. Step 3: Cross multiply
    1,963.95x = 2,946.29 × 868.35
  4. Step 4: Simplify right side
    1,963.95x = 2,558,406.58
  5. Step 5: Solve for x
    x = 2,558,406.58/1,963.95
  6. Step 6: Final answer
    x = 1,302.68

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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.