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Finding the Fourth Proportional to 3,030.88, 4,546.32 and 978.88

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Solution

The fourth proportional to 3,030.88, 4,546.32 and 978.88 is: 1,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030.88 : 4,546.32 = 978.88 : x
  2. Step 2: Convert to fraction form
    3,030.88/4,546.32 = 978.88/x
  3. Step 3: Cross multiply
    3,030.88x = 4,546.32 × 978.88
  4. Step 4: Simplify right side
    3,030.88x = 4,450,301.72
  5. Step 5: Solve for x
    x = 4,450,301.72/3,030.88
  6. Step 6: Final answer
    x = 1,468.32

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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.