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Finding the Fourth Proportional to 2,093.82, 3,140.73 and 707.16

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Solution

The fourth proportional to 2,093.82, 3,140.73 and 707.16 is: 1,060.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.82 : 3,140.73 = 707.16 : x
  2. Step 2: Convert to fraction form
    2,093.82/3,140.73 = 707.16/x
  3. Step 3: Cross multiply
    2,093.82x = 3,140.73 × 707.16
  4. Step 4: Simplify right side
    2,093.82x = 2,220,998.63
  5. Step 5: Solve for x
    x = 2,220,998.63/2,093.82
  6. Step 6: Final answer
    x = 1,060.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.