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Finding the Fourth Proportional to 1,756.71, 2,636.37 and 1,200.12

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Solution

The fourth proportional to 1,756.71, 2,636.37 and 1,200.12 is: 1,801.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.71 : 2,636.37 = 1,200.12 : x
  2. Step 2: Convert to fraction form
    1,756.71/2,636.37 = 1,200.12/x
  3. Step 3: Cross multiply
    1,756.71x = 2,636.37 × 1,200.12
  4. Step 4: Simplify right side
    1,756.71x = 3,163,960.36
  5. Step 5: Solve for x
    x = 3,163,960.36/1,756.71
  6. Step 6: Final answer
    x = 1,801.07

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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.