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Finding the Fourth Proportional to 2,556.54, 3,830.03 and 1,457.58

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Solution

The fourth proportional to 2,556.54, 3,830.03 and 1,457.58 is: 2,183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.54 : 3,830.03 = 1,457.58 : x
  2. Step 2: Convert to fraction form
    2,556.54/3,830.03 = 1,457.58/x
  3. Step 3: Cross multiply
    2,556.54x = 3,830.03 × 1,457.58
  4. Step 4: Simplify right side
    2,556.54x = 5,582,567.84
  5. Step 5: Solve for x
    x = 5,582,567.84/2,556.54
  6. Step 6: Final answer
    x = 2,183.64

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