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Finding the Fourth Proportional to 1,714.97, 2,365.45 and 1,052.19

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Solution

The fourth proportional to 1,714.97, 2,365.45 and 1,052.19 is: 1,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.97 : 2,365.45 = 1,052.19 : x
  2. Step 2: Convert to fraction form
    1,714.97/2,365.45 = 1,052.19/x
  3. Step 3: Cross multiply
    1,714.97x = 2,365.45 × 1,052.19
  4. Step 4: Simplify right side
    1,714.97x = 2,488,906.12
  5. Step 5: Solve for x
    x = 2,488,906.12/1,714.97
  6. Step 6: Final answer
    x = 1,451.28

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Double scale
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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.