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Finding the Fourth Proportional to 1,824.03, 2,735.47 and 591.16

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Solution

The fourth proportional to 1,824.03, 2,735.47 and 591.16 is: 886.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.03 : 2,735.47 = 591.16 : x
  2. Step 2: Convert to fraction form
    1,824.03/2,735.47 = 591.16/x
  3. Step 3: Cross multiply
    1,824.03x = 2,735.47 × 591.16
  4. Step 4: Simplify right side
    1,824.03x = 1,617,091.78
  5. Step 5: Solve for x
    x = 1,617,091.78/1,824.03
  6. Step 6: Final answer
    x = 886.55

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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.