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Finding the Fourth Proportional to 1,893.81, 2,838.40 and 853.53

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Solution

The fourth proportional to 1,893.81, 2,838.40 and 853.53 is: 1,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.81 : 2,838.40 = 853.53 : x
  2. Step 2: Convert to fraction form
    1,893.81/2,838.40 = 853.53/x
  3. Step 3: Cross multiply
    1,893.81x = 2,838.40 × 853.53
  4. Step 4: Simplify right side
    1,893.81x = 2,422,655.06
  5. Step 5: Solve for x
    x = 2,422,655.06/1,893.81
  6. Step 6: Final answer
    x = 1,279.25

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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.