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Finding the Fourth Proportional to 1,714.38, 2,365.85 and 968.34

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Solution

The fourth proportional to 1,714.38, 2,365.85 and 968.34 is: 1,336.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.38 : 2,365.85 = 968.34 : x
  2. Step 2: Convert to fraction form
    1,714.38/2,365.85 = 968.34/x
  3. Step 3: Cross multiply
    1,714.38x = 2,365.85 × 968.34
  4. Step 4: Simplify right side
    1,714.38x = 2,290,942.35
  5. Step 5: Solve for x
    x = 2,290,942.35/1,714.38
  6. Step 6: Final answer
    x = 1,336.31

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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.