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Finding the Fourth Proportional to 1,706.93, 2,556.44 and 1,648.51

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Solution

The fourth proportional to 1,706.93, 2,556.44 and 1,648.51 is: 2,468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.93 : 2,556.44 = 1,648.51 : x
  2. Step 2: Convert to fraction form
    1,706.93/2,556.44 = 1,648.51/x
  3. Step 3: Cross multiply
    1,706.93x = 2,556.44 × 1,648.51
  4. Step 4: Simplify right side
    1,706.93x = 4,214,316.90
  5. Step 5: Solve for x
    x = 4,214,316.90/1,706.93
  6. Step 6: Final answer
    x = 2,468.95

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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.