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Finding the Fourth Proportional to 2,433, 3,643.74 and 2,148.84

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Solution

The fourth proportional to 2,433, 3,643.74 and 2,148.84 is: 3,218.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433 : 3,643.74 = 2,148.84 : x
  2. Step 2: Convert to fraction form
    2,433/3,643.74 = 2,148.84/x
  3. Step 3: Cross multiply
    2,433x = 3,643.74 × 2,148.84
  4. Step 4: Simplify right side
    2,433x = 7,829,814.26
  5. Step 5: Solve for x
    x = 7,829,814.26/2,433
  6. Step 6: Final answer
    x = 3,218.17

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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.