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Finding the Fourth Proportional to 1,704.27, 2,556.93 and 1,410.45

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Solution

The fourth proportional to 1,704.27, 2,556.93 and 1,410.45 is: 2,116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.27 : 2,556.93 = 1,410.45 : x
  2. Step 2: Convert to fraction form
    1,704.27/2,556.93 = 1,410.45/x
  3. Step 3: Cross multiply
    1,704.27x = 2,556.93 × 1,410.45
  4. Step 4: Simplify right side
    1,704.27x = 3,606,421.92
  5. Step 5: Solve for x
    x = 3,606,421.92/1,704.27
  6. Step 6: Final answer
    x = 2,116.11

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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.