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Finding the Fourth Proportional to 2,830.29, 3,905.52 and 1,634.99

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Solution

The fourth proportional to 2,830.29, 3,905.52 and 1,634.99 is: 2,256.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.29 : 3,905.52 = 1,634.99 : x
  2. Step 2: Convert to fraction form
    2,830.29/3,905.52 = 1,634.99/x
  3. Step 3: Cross multiply
    2,830.29x = 3,905.52 × 1,634.99
  4. Step 4: Simplify right side
    2,830.29x = 6,385,460.49
  5. Step 5: Solve for x
    x = 6,385,460.49/2,830.29
  6. Step 6: Final answer
    x = 2,256.11

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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.