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Finding the Fourth Proportional to 1,714.60, 2,566.42 and 891.74

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Solution

The fourth proportional to 1,714.60, 2,566.42 and 891.74 is: 1,334.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.60 : 2,566.42 = 891.74 : x
  2. Step 2: Convert to fraction form
    1,714.60/2,566.42 = 891.74/x
  3. Step 3: Cross multiply
    1,714.60x = 2,566.42 × 891.74
  4. Step 4: Simplify right side
    1,714.60x = 2,288,579.37
  5. Step 5: Solve for x
    x = 2,288,579.37/1,714.60
  6. Step 6: Final answer
    x = 1,334.76

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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.