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Finding the Fourth Proportional to 2,173.48, 3,260.01 and 613.46

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Solution

The fourth proportional to 2,173.48, 3,260.01 and 613.46 is: 920.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.48 : 3,260.01 = 613.46 : x
  2. Step 2: Convert to fraction form
    2,173.48/3,260.01 = 613.46/x
  3. Step 3: Cross multiply
    2,173.48x = 3,260.01 × 613.46
  4. Step 4: Simplify right side
    2,173.48x = 1,999,896.19
  5. Step 5: Solve for x
    x = 1,999,896.19/2,173.48
  6. Step 6: Final answer
    x = 920.13

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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.