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Finding the Fourth Proportional to 2,924.88, 4,387.44 and 977.28

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Solution

The fourth proportional to 2,924.88, 4,387.44 and 977.28 is: 1,465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.88 : 4,387.44 = 977.28 : x
  2. Step 2: Convert to fraction form
    2,924.88/4,387.44 = 977.28/x
  3. Step 3: Cross multiply
    2,924.88x = 4,387.44 × 977.28
  4. Step 4: Simplify right side
    2,924.88x = 4,287,757.36
  5. Step 5: Solve for x
    x = 4,287,757.36/2,924.88
  6. Step 6: Final answer
    x = 1,465.96

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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.