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Finding the Fourth Proportional to 2,095.04, 3,142.72 and 556

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Solution

The fourth proportional to 2,095.04, 3,142.72 and 556 is: 834.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.04 : 3,142.72 = 556 : x
  2. Step 2: Convert to fraction form
    2,095.04/3,142.72 = 556/x
  3. Step 3: Cross multiply
    2,095.04x = 3,142.72 × 556
  4. Step 4: Simplify right side
    2,095.04x = 1,747,352.32
  5. Step 5: Solve for x
    x = 1,747,352.32/2,095.04
  6. Step 6: Final answer
    x = 834.04

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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.