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Finding the Fourth Proportional to 1,714.63, 2,570.44 and 824.71

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Solution

The fourth proportional to 1,714.63, 2,570.44 and 824.71 is: 1,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.63 : 2,570.44 = 824.71 : x
  2. Step 2: Convert to fraction form
    1,714.63/2,570.44 = 824.71/x
  3. Step 3: Cross multiply
    1,714.63x = 2,570.44 × 824.71
  4. Step 4: Simplify right side
    1,714.63x = 2,119,867.57
  5. Step 5: Solve for x
    x = 2,119,867.57/1,714.63
  6. Step 6: Final answer
    x = 1,236.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.