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Finding the Fourth Proportional to 2,093.96, 3,140.40 and 707.36

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Solution

The fourth proportional to 2,093.96, 3,140.40 and 707.36 is: 1,060.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.96 : 3,140.40 = 707.36 : x
  2. Step 2: Convert to fraction form
    2,093.96/3,140.40 = 707.36/x
  3. Step 3: Cross multiply
    2,093.96x = 3,140.40 × 707.36
  4. Step 4: Simplify right side
    2,093.96x = 2,221,393.34
  5. Step 5: Solve for x
    x = 2,221,393.34/2,093.96
  6. Step 6: Final answer
    x = 1,060.86

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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.