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Finding the Fourth Proportional to 1,827.32, 2,741.38 and 528.68

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Solution

The fourth proportional to 1,827.32, 2,741.38 and 528.68 is: 793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.32 : 2,741.38 = 528.68 : x
  2. Step 2: Convert to fraction form
    1,827.32/2,741.38 = 528.68/x
  3. Step 3: Cross multiply
    1,827.32x = 2,741.38 × 528.68
  4. Step 4: Simplify right side
    1,827.32x = 1,449,312.78
  5. Step 5: Solve for x
    x = 1,449,312.78/1,827.32
  6. Step 6: Final answer
    x = 793.14

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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.