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Finding the Fourth Proportional to 2,911.57, 4,365.52 and 1,613.95

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Solution

The fourth proportional to 2,911.57, 4,365.52 and 1,613.95 is: 2,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.57 : 4,365.52 = 1,613.95 : x
  2. Step 2: Convert to fraction form
    2,911.57/4,365.52 = 1,613.95/x
  3. Step 3: Cross multiply
    2,911.57x = 4,365.52 × 1,613.95
  4. Step 4: Simplify right side
    2,911.57x = 7,045,716.06
  5. Step 5: Solve for x
    x = 7,045,716.06/2,911.57
  6. Step 6: Final answer
    x = 2,419.90

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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.