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Finding the Fourth Proportional to 1,893.06, 2,849.64 and 1,349.01

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Solution

The fourth proportional to 1,893.06, 2,849.64 and 1,349.01 is: 2,030.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.06 : 2,849.64 = 1,349.01 : x
  2. Step 2: Convert to fraction form
    1,893.06/2,849.64 = 1,349.01/x
  3. Step 3: Cross multiply
    1,893.06x = 2,849.64 × 1,349.01
  4. Step 4: Simplify right side
    1,893.06x = 3,844,192.86
  5. Step 5: Solve for x
    x = 3,844,192.86/1,893.06
  6. Step 6: Final answer
    x = 2,030.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.