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Finding the Fourth Proportional to 1,704, 2,556.16 and 1,510.80

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Solution

The fourth proportional to 1,704, 2,556.16 and 1,510.80 is: 2,266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704 : 2,556.16 = 1,510.80 : x
  2. Step 2: Convert to fraction form
    1,704/2,556.16 = 1,510.80/x
  3. Step 3: Cross multiply
    1,704x = 2,556.16 × 1,510.80
  4. Step 4: Simplify right side
    1,704x = 3,861,846.53
  5. Step 5: Solve for x
    x = 3,861,846.53/1,704
  6. Step 6: Final answer
    x = 2,266.34

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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.