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Finding the Fourth Proportional to 2,847.47, 3,929.58 and 1,588.62

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Solution

The fourth proportional to 2,847.47, 3,929.58 and 1,588.62 is: 2,192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.47 : 3,929.58 = 1,588.62 : x
  2. Step 2: Convert to fraction form
    2,847.47/3,929.58 = 1,588.62/x
  3. Step 3: Cross multiply
    2,847.47x = 3,929.58 × 1,588.62
  4. Step 4: Simplify right side
    2,847.47x = 6,242,609.38
  5. Step 5: Solve for x
    x = 6,242,609.38/2,847.47
  6. Step 6: Final answer
    x = 2,192.34

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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.