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Finding the Fourth Proportional to 1,882.64, 2,600.46 and 1,445.91

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Solution

The fourth proportional to 1,882.64, 2,600.46 and 1,445.91 is: 1,997.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.64 : 2,600.46 = 1,445.91 : x
  2. Step 2: Convert to fraction form
    1,882.64/2,600.46 = 1,445.91/x
  3. Step 3: Cross multiply
    1,882.64x = 2,600.46 × 1,445.91
  4. Step 4: Simplify right side
    1,882.64x = 3,760,031.12
  5. Step 5: Solve for x
    x = 3,760,031.12/1,882.64
  6. Step 6: Final answer
    x = 1,997.22

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