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Finding the Fourth Proportional to 1,827.16, 2,740.38 and 528.76

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Solution

The fourth proportional to 1,827.16, 2,740.38 and 528.76 is: 793.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.16 : 2,740.38 = 528.76 : x
  2. Step 2: Convert to fraction form
    1,827.16/2,740.38 = 528.76/x
  3. Step 3: Cross multiply
    1,827.16x = 2,740.38 × 528.76
  4. Step 4: Simplify right side
    1,827.16x = 1,449,003.33
  5. Step 5: Solve for x
    x = 1,449,003.33/1,827.16
  6. Step 6: Final answer
    x = 793.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.