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Finding the Fourth Proportional to 1,714.89, 2,366.68 and 969.09

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Solution

The fourth proportional to 1,714.89, 2,366.68 and 969.09 is: 1,337.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.89 : 2,366.68 = 969.09 : x
  2. Step 2: Convert to fraction form
    1,714.89/2,366.68 = 969.09/x
  3. Step 3: Cross multiply
    1,714.89x = 2,366.68 × 969.09
  4. Step 4: Simplify right side
    1,714.89x = 2,293,525.92
  5. Step 5: Solve for x
    x = 2,293,525.92/1,714.89
  6. Step 6: Final answer
    x = 1,337.42

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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.