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Finding the Fourth Proportional to 1,714.39, 2,365.84 and 968.59

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Solution

The fourth proportional to 1,714.39, 2,365.84 and 968.59 is: 1,336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.39 : 2,365.84 = 968.59 : x
  2. Step 2: Convert to fraction form
    1,714.39/2,365.84 = 968.59/x
  3. Step 3: Cross multiply
    1,714.39x = 2,365.84 × 968.59
  4. Step 4: Simplify right side
    1,714.39x = 2,291,517.14
  5. Step 5: Solve for x
    x = 2,291,517.14/1,714.39
  6. Step 6: Final answer
    x = 1,336.64

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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.