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Finding the Fourth Proportional to 2,621, 3,933.07 and 978.70

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Solution

The fourth proportional to 2,621, 3,933.07 and 978.70 is: 1,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621 : 3,933.07 = 978.70 : x
  2. Step 2: Convert to fraction form
    2,621/3,933.07 = 978.70/x
  3. Step 3: Cross multiply
    2,621x = 3,933.07 × 978.70
  4. Step 4: Simplify right side
    2,621x = 3,849,293.16
  5. Step 5: Solve for x
    x = 3,849,293.16/2,621
  6. Step 6: Final answer
    x = 1,468.64

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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.