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Finding the Fourth Proportional to 2,035.35, 3,051.43 and 865.53

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Solution

The fourth proportional to 2,035.35, 3,051.43 and 865.53 is: 1,297.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.35 : 3,051.43 = 865.53 : x
  2. Step 2: Convert to fraction form
    2,035.35/3,051.43 = 865.53/x
  3. Step 3: Cross multiply
    2,035.35x = 3,051.43 × 865.53
  4. Step 4: Simplify right side
    2,035.35x = 2,641,113.06
  5. Step 5: Solve for x
    x = 2,641,113.06/2,035.35
  6. Step 6: Final answer
    x = 1,297.62

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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.