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Finding the Fourth Proportional to 3,006.66, 4,506.94 and 1,705.39

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Solution

The fourth proportional to 3,006.66, 4,506.94 and 1,705.39 is: 2,556.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.66 : 4,506.94 = 1,705.39 : x
  2. Step 2: Convert to fraction form
    3,006.66/4,506.94 = 1,705.39/x
  3. Step 3: Cross multiply
    3,006.66x = 4,506.94 × 1,705.39
  4. Step 4: Simplify right side
    3,006.66x = 7,686,090.41
  5. Step 5: Solve for x
    x = 7,686,090.41/3,006.66
  6. Step 6: Final answer
    x = 2,556.36

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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.