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Finding the Fourth Proportional to 1,893.66, 2,840.99 and 1,349.29

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Solution

The fourth proportional to 1,893.66, 2,840.99 and 1,349.29 is: 2,024.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.66 : 2,840.99 = 1,349.29 : x
  2. Step 2: Convert to fraction form
    1,893.66/2,840.99 = 1,349.29/x
  3. Step 3: Cross multiply
    1,893.66x = 2,840.99 × 1,349.29
  4. Step 4: Simplify right side
    1,893.66x = 3,833,319.40
  5. Step 5: Solve for x
    x = 3,833,319.40/1,893.66
  6. Step 6: Final answer
    x = 2,024.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.