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Finding the Fourth Proportional to 1,706.14, 2,556.73 and 925.48

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Solution

The fourth proportional to 1,706.14, 2,556.73 and 925.48 is: 1,386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.14 : 2,556.73 = 925.48 : x
  2. Step 2: Convert to fraction form
    1,706.14/2,556.73 = 925.48/x
  3. Step 3: Cross multiply
    1,706.14x = 2,556.73 × 925.48
  4. Step 4: Simplify right side
    1,706.14x = 2,366,202.48
  5. Step 5: Solve for x
    x = 2,366,202.48/1,706.14
  6. Step 6: Final answer
    x = 1,386.87

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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.