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Finding the Fourth Proportional to 1,714.87, 2,558.89 and 1,493.47

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Solution

The fourth proportional to 1,714.87, 2,558.89 and 1,493.47 is: 2,228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.87 : 2,558.89 = 1,493.47 : x
  2. Step 2: Convert to fraction form
    1,714.87/2,558.89 = 1,493.47/x
  3. Step 3: Cross multiply
    1,714.87x = 2,558.89 × 1,493.47
  4. Step 4: Simplify right side
    1,714.87x = 3,821,625.45
  5. Step 5: Solve for x
    x = 3,821,625.45/1,714.87
  6. Step 6: Final answer
    x = 2,228.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.