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Finding the Fourth Proportional to 2,344.01, 3,533.63 and 2,185.45

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Solution

The fourth proportional to 2,344.01, 3,533.63 and 2,185.45 is: 3,294.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.01 : 3,533.63 = 2,185.45 : x
  2. Step 2: Convert to fraction form
    2,344.01/3,533.63 = 2,185.45/x
  3. Step 3: Cross multiply
    2,344.01x = 3,533.63 × 2,185.45
  4. Step 4: Simplify right side
    2,344.01x = 7,722,551.92
  5. Step 5: Solve for x
    x = 7,722,551.92/2,344.01
  6. Step 6: Final answer
    x = 3,294.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.