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Finding the Fourth Proportional to 1,596.96, 2,394.18 and 816.12

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Solution

The fourth proportional to 1,596.96, 2,394.18 and 816.12 is: 1,223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.96 : 2,394.18 = 816.12 : x
  2. Step 2: Convert to fraction form
    1,596.96/2,394.18 = 816.12/x
  3. Step 3: Cross multiply
    1,596.96x = 2,394.18 × 816.12
  4. Step 4: Simplify right side
    1,596.96x = 1,953,938.18
  5. Step 5: Solve for x
    x = 1,953,938.18/1,596.96
  6. Step 6: Final answer
    x = 1,223.54

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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.