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Finding the Fourth Proportional to 2,814.90, 3,885.98 and 1,820.98

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Solution

The fourth proportional to 2,814.90, 3,885.98 and 1,820.98 is: 2,513.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.90 : 3,885.98 = 1,820.98 : x
  2. Step 2: Convert to fraction form
    2,814.90/3,885.98 = 1,820.98/x
  3. Step 3: Cross multiply
    2,814.90x = 3,885.98 × 1,820.98
  4. Step 4: Simplify right side
    2,814.90x = 7,076,287.61
  5. Step 5: Solve for x
    x = 7,076,287.61/2,814.90
  6. Step 6: Final answer
    x = 2,513.87

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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.