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Finding the Fourth Proportional to 1,556.73, 2,149.32 and 1,457.55

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Solution

The fourth proportional to 1,556.73, 2,149.32 and 1,457.55 is: 2,012.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.73 : 2,149.32 = 1,457.55 : x
  2. Step 2: Convert to fraction form
    1,556.73/2,149.32 = 1,457.55/x
  3. Step 3: Cross multiply
    1,556.73x = 2,149.32 × 1,457.55
  4. Step 4: Simplify right side
    1,556.73x = 3,132,741.37
  5. Step 5: Solve for x
    x = 3,132,741.37/1,556.73
  6. Step 6: Final answer
    x = 2,012.39

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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.