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Finding the Fourth Proportional to 2,145.47, 3,218.15 and 991.22

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Solution

The fourth proportional to 2,145.47, 3,218.15 and 991.22 is: 1,486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.47 : 3,218.15 = 991.22 : x
  2. Step 2: Convert to fraction form
    2,145.47/3,218.15 = 991.22/x
  3. Step 3: Cross multiply
    2,145.47x = 3,218.15 × 991.22
  4. Step 4: Simplify right side
    2,145.47x = 3,189,894.64
  5. Step 5: Solve for x
    x = 3,189,894.64/2,145.47
  6. Step 6: Final answer
    x = 1,486.80

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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.