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Finding the Fourth Proportional to 1,714.71, 2,366.27 and 958.49

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Solution

The fourth proportional to 1,714.71, 2,366.27 and 958.49 is: 1,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.71 : 2,366.27 = 958.49 : x
  2. Step 2: Convert to fraction form
    1,714.71/2,366.27 = 958.49/x
  3. Step 3: Cross multiply
    1,714.71x = 2,366.27 × 958.49
  4. Step 4: Simplify right side
    1,714.71x = 2,268,031.73
  5. Step 5: Solve for x
    x = 2,268,031.73/1,714.71
  6. Step 6: Final answer
    x = 1,322.69

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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.