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Finding the Fourth Proportional to 2,166.90, 3,250.80 and 705.93

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Solution

The fourth proportional to 2,166.90, 3,250.80 and 705.93 is: 1,059.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.90 : 3,250.80 = 705.93 : x
  2. Step 2: Convert to fraction form
    2,166.90/3,250.80 = 705.93/x
  3. Step 3: Cross multiply
    2,166.90x = 3,250.80 × 705.93
  4. Step 4: Simplify right side
    2,166.90x = 2,294,837.24
  5. Step 5: Solve for x
    x = 2,294,837.24/2,166.90
  6. Step 6: Final answer
    x = 1,059.04

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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.