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Finding the Fourth Proportional to 2,071.45, 2,857.65 and 1,443.52

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Solution

The fourth proportional to 2,071.45, 2,857.65 and 1,443.52 is: 1,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.45 : 2,857.65 = 1,443.52 : x
  2. Step 2: Convert to fraction form
    2,071.45/2,857.65 = 1,443.52/x
  3. Step 3: Cross multiply
    2,071.45x = 2,857.65 × 1,443.52
  4. Step 4: Simplify right side
    2,071.45x = 4,125,074.93
  5. Step 5: Solve for x
    x = 4,125,074.93/2,071.45
  6. Step 6: Final answer
    x = 1,991.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.