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Finding the Fourth Proportional to 1,827.87, 2,741.99 and 529.53

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Solution

The fourth proportional to 1,827.87, 2,741.99 and 529.53 is: 794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.87 : 2,741.99 = 529.53 : x
  2. Step 2: Convert to fraction form
    1,827.87/2,741.99 = 529.53/x
  3. Step 3: Cross multiply
    1,827.87x = 2,741.99 × 529.53
  4. Step 4: Simplify right side
    1,827.87x = 1,451,963.32
  5. Step 5: Solve for x
    x = 1,451,963.32/1,827.87
  6. Step 6: Final answer
    x = 794.35

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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.