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Finding the Fourth Proportional to 2,119.01, 2,924.54 and 1,175.01

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Solution

The fourth proportional to 2,119.01, 2,924.54 and 1,175.01 is: 1,621.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.01 : 2,924.54 = 1,175.01 : x
  2. Step 2: Convert to fraction form
    2,119.01/2,924.54 = 1,175.01/x
  3. Step 3: Cross multiply
    2,119.01x = 2,924.54 × 1,175.01
  4. Step 4: Simplify right side
    2,119.01x = 3,436,366.11
  5. Step 5: Solve for x
    x = 3,436,366.11/2,119.01
  6. Step 6: Final answer
    x = 1,621.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.