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Finding the Fourth Proportional to 2,304.92, 3,457.46 and 745.09

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Solution

The fourth proportional to 2,304.92, 3,457.46 and 745.09 is: 1,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.92 : 3,457.46 = 745.09 : x
  2. Step 2: Convert to fraction form
    2,304.92/3,457.46 = 745.09/x
  3. Step 3: Cross multiply
    2,304.92x = 3,457.46 × 745.09
  4. Step 4: Simplify right side
    2,304.92x = 2,576,112.09
  5. Step 5: Solve for x
    x = 2,576,112.09/2,304.92
  6. Step 6: Final answer
    x = 1,117.66

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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.