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Finding the Fourth Proportional to 2,924.97, 4,388.16 and 977.32

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Solution

The fourth proportional to 2,924.97, 4,388.16 and 977.32 is: 1,466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.97 : 4,388.16 = 977.32 : x
  2. Step 2: Convert to fraction form
    2,924.97/4,388.16 = 977.32/x
  3. Step 3: Cross multiply
    2,924.97x = 4,388.16 × 977.32
  4. Step 4: Simplify right side
    2,924.97x = 4,288,636.53
  5. Step 5: Solve for x
    x = 4,288,636.53/2,924.97
  6. Step 6: Final answer
    x = 1,466.22

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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.