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Finding the Fourth Proportional to 2,768.47, 4,147.08 and 1,595.08

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Solution

The fourth proportional to 2,768.47, 4,147.08 and 1,595.08 is: 2,389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.47 : 4,147.08 = 1,595.08 : x
  2. Step 2: Convert to fraction form
    2,768.47/4,147.08 = 1,595.08/x
  3. Step 3: Cross multiply
    2,768.47x = 4,147.08 × 1,595.08
  4. Step 4: Simplify right side
    2,768.47x = 6,614,924.37
  5. Step 5: Solve for x
    x = 6,614,924.37/2,768.47
  6. Step 6: Final answer
    x = 2,389.38

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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.