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Finding the Fourth Proportional to 1,995, 2,992.53 and 534.15

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Solution

The fourth proportional to 1,995, 2,992.53 and 534.15 is: 801.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995 : 2,992.53 = 534.15 : x
  2. Step 2: Convert to fraction form
    1,995/2,992.53 = 534.15/x
  3. Step 3: Cross multiply
    1,995x = 2,992.53 × 534.15
  4. Step 4: Simplify right side
    1,995x = 1,598,459.90
  5. Step 5: Solve for x
    x = 1,598,459.90/1,995
  6. Step 6: Final answer
    x = 801.23

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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.