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Finding the Fourth Proportional to 2,428.75, 3,643.73 and 785.26

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Solution

The fourth proportional to 2,428.75, 3,643.73 and 785.26 is: 1,178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.75 : 3,643.73 = 785.26 : x
  2. Step 2: Convert to fraction form
    2,428.75/3,643.73 = 785.26/x
  3. Step 3: Cross multiply
    2,428.75x = 3,643.73 × 785.26
  4. Step 4: Simplify right side
    2,428.75x = 2,861,275.42
  5. Step 5: Solve for x
    x = 2,861,275.42/2,428.75
  6. Step 6: Final answer
    x = 1,178.09

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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.