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Finding the Fourth Proportional to 2,855.99, 3,941.45 and 1,597.14

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Solution

The fourth proportional to 2,855.99, 3,941.45 and 1,597.14 is: 2,204.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.99 : 3,941.45 = 1,597.14 : x
  2. Step 2: Convert to fraction form
    2,855.99/3,941.45 = 1,597.14/x
  3. Step 3: Cross multiply
    2,855.99x = 3,941.45 × 1,597.14
  4. Step 4: Simplify right side
    2,855.99x = 6,295,051.45
  5. Step 5: Solve for x
    x = 6,295,051.45/2,855.99
  6. Step 6: Final answer
    x = 2,204.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.