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Finding the Fourth Proportional to 2,166.44, 3,248.90 and 705.22

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Solution

The fourth proportional to 2,166.44, 3,248.90 and 705.22 is: 1,057.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.44 : 3,248.90 = 705.22 : x
  2. Step 2: Convert to fraction form
    2,166.44/3,248.90 = 705.22/x
  3. Step 3: Cross multiply
    2,166.44x = 3,248.90 × 705.22
  4. Step 4: Simplify right side
    2,166.44x = 2,291,189.26
  5. Step 5: Solve for x
    x = 2,291,189.26/2,166.44
  6. Step 6: Final answer
    x = 1,057.58

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1.5x scale

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.