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Finding the Fourth Proportional to 1,893.65, 2,840.46 and 506.95

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Solution

The fourth proportional to 1,893.65, 2,840.46 and 506.95 is: 760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.65 : 2,840.46 = 506.95 : x
  2. Step 2: Convert to fraction form
    1,893.65/2,840.46 = 506.95/x
  3. Step 3: Cross multiply
    1,893.65x = 2,840.46 × 506.95
  4. Step 4: Simplify right side
    1,893.65x = 1,439,964.10
  5. Step 5: Solve for x
    x = 1,439,964.10/1,893.65
  6. Step 6: Final answer
    x = 760.42

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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.