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Finding the Fourth Proportional to 1,764.63, 2,435.27 and 1,206.27

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Solution

The fourth proportional to 1,764.63, 2,435.27 and 1,206.27 is: 1,664.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.63 : 2,435.27 = 1,206.27 : x
  2. Step 2: Convert to fraction form
    1,764.63/2,435.27 = 1,206.27/x
  3. Step 3: Cross multiply
    1,764.63x = 2,435.27 × 1,206.27
  4. Step 4: Simplify right side
    1,764.63x = 2,937,587.11
  5. Step 5: Solve for x
    x = 2,937,587.11/1,764.63
  6. Step 6: Final answer
    x = 1,664.70

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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.