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Finding the Fourth Proportional to 2,597.27, 3,585.00 and 1,811.57

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Solution

The fourth proportional to 2,597.27, 3,585.00 and 1,811.57 is: 2,500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.27 : 3,585.00 = 1,811.57 : x
  2. Step 2: Convert to fraction form
    2,597.27/3,585.00 = 1,811.57/x
  3. Step 3: Cross multiply
    2,597.27x = 3,585.00 × 1,811.57
  4. Step 4: Simplify right side
    2,597.27x = 6,494,451.47
  5. Step 5: Solve for x
    x = 6,494,451.47/2,597.27
  6. Step 6: Final answer
    x = 2,500.50

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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.