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Finding the Fourth Proportional to 2,556.54, 3,834.54 and 1,582.38

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Solution

The fourth proportional to 2,556.54, 3,834.54 and 1,582.38 is: 2,373.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.54 : 3,834.54 = 1,582.38 : x
  2. Step 2: Convert to fraction form
    2,556.54/3,834.54 = 1,582.38/x
  3. Step 3: Cross multiply
    2,556.54x = 3,834.54 × 1,582.38
  4. Step 4: Simplify right side
    2,556.54x = 6,067,699.41
  5. Step 5: Solve for x
    x = 6,067,699.41/2,556.54
  6. Step 6: Final answer
    x = 2,373.40

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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.