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Finding the Fourth Proportional to 2,093.15, 3,138.46 and 706.10

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Solution

The fourth proportional to 2,093.15, 3,138.46 and 706.10 is: 1,058.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.15 : 3,138.46 = 706.10 : x
  2. Step 2: Convert to fraction form
    2,093.15/3,138.46 = 706.10/x
  3. Step 3: Cross multiply
    2,093.15x = 3,138.46 × 706.10
  4. Step 4: Simplify right side
    2,093.15x = 2,216,066.61
  5. Step 5: Solve for x
    x = 2,216,066.61/2,093.15
  6. Step 6: Final answer
    x = 1,058.72

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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.