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Finding the Fourth Proportional to 1,596.84, 2,203.20 and 966.84

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Solution

The fourth proportional to 1,596.84, 2,203.20 and 966.84 is: 1,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.84 : 2,203.20 = 966.84 : x
  2. Step 2: Convert to fraction form
    1,596.84/2,203.20 = 966.84/x
  3. Step 3: Cross multiply
    1,596.84x = 2,203.20 × 966.84
  4. Step 4: Simplify right side
    1,596.84x = 2,130,141.89
  5. Step 5: Solve for x
    x = 2,130,141.89/1,596.84
  6. Step 6: Final answer
    x = 1,333.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.