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Finding the Fourth Proportional to 2,189.06, 3,283.80 and 707.93

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Solution

The fourth proportional to 2,189.06, 3,283.80 and 707.93 is: 1,061.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.06 : 3,283.80 = 707.93 : x
  2. Step 2: Convert to fraction form
    2,189.06/3,283.80 = 707.93/x
  3. Step 3: Cross multiply
    2,189.06x = 3,283.80 × 707.93
  4. Step 4: Simplify right side
    2,189.06x = 2,324,700.53
  5. Step 5: Solve for x
    x = 2,324,700.53/2,189.06
  6. Step 6: Final answer
    x = 1,061.96

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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.