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Finding the Fourth Proportional to 2,882.04, 4,321.62 and 1,495.01

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Solution

The fourth proportional to 2,882.04, 4,321.62 and 1,495.01 is: 2,241.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.04 : 4,321.62 = 1,495.01 : x
  2. Step 2: Convert to fraction form
    2,882.04/4,321.62 = 1,495.01/x
  3. Step 3: Cross multiply
    2,882.04x = 4,321.62 × 1,495.01
  4. Step 4: Simplify right side
    2,882.04x = 6,460,843.51
  5. Step 5: Solve for x
    x = 6,460,843.51/2,882.04
  6. Step 6: Final answer
    x = 2,241.76

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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.