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Finding the Fourth Proportional to 2,093.09, 3,139.12 and 706.07

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Solution

The fourth proportional to 2,093.09, 3,139.12 and 706.07 is: 1,058.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.09 : 3,139.12 = 706.07 : x
  2. Step 2: Convert to fraction form
    2,093.09/3,139.12 = 706.07/x
  3. Step 3: Cross multiply
    2,093.09x = 3,139.12 × 706.07
  4. Step 4: Simplify right side
    2,093.09x = 2,216,438.46
  5. Step 5: Solve for x
    x = 2,216,438.46/2,093.09
  6. Step 6: Final answer
    x = 1,058.93

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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.