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Finding the Fourth Proportional to 2,523.88, 3,475.47 and 1,814.48

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Solution

The fourth proportional to 2,523.88, 3,475.47 and 1,814.48 is: 2,498.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.88 : 3,475.47 = 1,814.48 : x
  2. Step 2: Convert to fraction form
    2,523.88/3,475.47 = 1,814.48/x
  3. Step 3: Cross multiply
    2,523.88x = 3,475.47 × 1,814.48
  4. Step 4: Simplify right side
    2,523.88x = 6,306,144.36
  5. Step 5: Solve for x
    x = 6,306,144.36/2,523.88
  6. Step 6: Final answer
    x = 2,498.59

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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.