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Finding the Fourth Proportional to 2,095, 3,142.71 and 556

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Solution

The fourth proportional to 2,095, 3,142.71 and 556 is: 834.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095 : 3,142.71 = 556 : x
  2. Step 2: Convert to fraction form
    2,095/3,142.71 = 556/x
  3. Step 3: Cross multiply
    2,095x = 3,142.71 × 556
  4. Step 4: Simplify right side
    2,095x = 1,747,346.76
  5. Step 5: Solve for x
    x = 1,747,346.76/2,095
  6. Step 6: Final answer
    x = 834.06

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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.