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Finding the Fourth Proportional to 1,827.71, 2,520.36 and 1,296.35

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Solution

The fourth proportional to 1,827.71, 2,520.36 and 1,296.35 is: 1,787.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.71 : 2,520.36 = 1,296.35 : x
  2. Step 2: Convert to fraction form
    1,827.71/2,520.36 = 1,296.35/x
  3. Step 3: Cross multiply
    1,827.71x = 2,520.36 × 1,296.35
  4. Step 4: Simplify right side
    1,827.71x = 3,267,274.99
  5. Step 5: Solve for x
    x = 3,267,274.99/1,827.71
  6. Step 6: Final answer
    x = 1,787.63

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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.