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Finding the Fourth Proportional to 2,004.94, 3,006.55 and 706.11

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Solution

The fourth proportional to 2,004.94, 3,006.55 and 706.11 is: 1,058.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.94 : 3,006.55 = 706.11 : x
  2. Step 2: Convert to fraction form
    2,004.94/3,006.55 = 706.11/x
  3. Step 3: Cross multiply
    2,004.94x = 3,006.55 × 706.11
  4. Step 4: Simplify right side
    2,004.94x = 2,122,955.02
  5. Step 5: Solve for x
    x = 2,122,955.02/2,004.94
  6. Step 6: Final answer
    x = 1,058.86

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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.