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Finding the Fourth Proportional to 1,706.74, 2,556.92 and 974.09

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Solution

The fourth proportional to 1,706.74, 2,556.92 and 974.09 is: 1,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.74 : 2,556.92 = 974.09 : x
  2. Step 2: Convert to fraction form
    1,706.74/2,556.92 = 974.09/x
  3. Step 3: Cross multiply
    1,706.74x = 2,556.92 × 974.09
  4. Step 4: Simplify right side
    1,706.74x = 2,490,673.55
  5. Step 5: Solve for x
    x = 2,490,673.55/1,706.74
  6. Step 6: Final answer
    x = 1,459.32

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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.