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Finding the Fourth Proportional to 2,411.71, 3,332.75 and 1,741.71

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Solution

The fourth proportional to 2,411.71, 3,332.75 and 1,741.71 is: 2,406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.71 : 3,332.75 = 1,741.71 : x
  2. Step 2: Convert to fraction form
    2,411.71/3,332.75 = 1,741.71/x
  3. Step 3: Cross multiply
    2,411.71x = 3,332.75 × 1,741.71
  4. Step 4: Simplify right side
    2,411.71x = 5,804,684.00
  5. Step 5: Solve for x
    x = 5,804,684.00/2,411.71
  6. Step 6: Final answer
    x = 2,406.87

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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.