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Finding the Fourth Proportional to 1,623.26, 2,435.31 and 930.71

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Solution

The fourth proportional to 1,623.26, 2,435.31 and 930.71 is: 1,396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.26 : 2,435.31 = 930.71 : x
  2. Step 2: Convert to fraction form
    1,623.26/2,435.31 = 930.71/x
  3. Step 3: Cross multiply
    1,623.26x = 2,435.31 × 930.71
  4. Step 4: Simplify right side
    1,623.26x = 2,266,567.37
  5. Step 5: Solve for x
    x = 2,266,567.37/1,623.26
  6. Step 6: Final answer
    x = 1,396.31

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1.5x scale

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.