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Finding the Fourth Proportional to 2,882.44, 3,973.62 and 2,053

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Solution

The fourth proportional to 2,882.44, 3,973.62 and 2,053 is: 2,830.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.44 : 3,973.62 = 2,053 : x
  2. Step 2: Convert to fraction form
    2,882.44/3,973.62 = 2,053/x
  3. Step 3: Cross multiply
    2,882.44x = 3,973.62 × 2,053
  4. Step 4: Simplify right side
    2,882.44x = 8,157,841.86
  5. Step 5: Solve for x
    x = 8,157,841.86/2,882.44
  6. Step 6: Final answer
    x = 2,830.19

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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.