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Finding the Fourth Proportional to 1,563.81, 2,346.48 and 978.66

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Solution

The fourth proportional to 1,563.81, 2,346.48 and 978.66 is: 1,468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.81 : 2,346.48 = 978.66 : x
  2. Step 2: Convert to fraction form
    1,563.81/2,346.48 = 978.66/x
  3. Step 3: Cross multiply
    1,563.81x = 2,346.48 × 978.66
  4. Step 4: Simplify right side
    1,563.81x = 2,296,406.12
  5. Step 5: Solve for x
    x = 2,296,406.12/1,563.81
  6. Step 6: Final answer
    x = 1,468.47

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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.