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Finding the Fourth Proportional to 1,706.96, 2,564.70 and 1,090.94

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Solution

The fourth proportional to 1,706.96, 2,564.70 and 1,090.94 is: 1,639.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.96 : 2,564.70 = 1,090.94 : x
  2. Step 2: Convert to fraction form
    1,706.96/2,564.70 = 1,090.94/x
  3. Step 3: Cross multiply
    1,706.96x = 2,564.70 × 1,090.94
  4. Step 4: Simplify right side
    1,706.96x = 2,797,933.82
  5. Step 5: Solve for x
    x = 2,797,933.82/1,706.96
  6. Step 6: Final answer
    x = 1,639.13

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Why These Related Problems?

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