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Finding the Fourth Proportional to 1,596.34, 2,394.62 and 670.97

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Solution

The fourth proportional to 1,596.34, 2,394.62 and 670.97 is: 1,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.34 : 2,394.62 = 670.97 : x
  2. Step 2: Convert to fraction form
    1,596.34/2,394.62 = 670.97/x
  3. Step 3: Cross multiply
    1,596.34x = 2,394.62 × 670.97
  4. Step 4: Simplify right side
    1,596.34x = 1,606,723.33
  5. Step 5: Solve for x
    x = 1,606,723.33/1,596.34
  6. Step 6: Final answer
    x = 1,006.50

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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.