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Finding the Fourth Proportional to 1,804.74, 2,706.64 and 764.21

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Solution

The fourth proportional to 1,804.74, 2,706.64 and 764.21 is: 1,146.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.74 : 2,706.64 = 764.21 : x
  2. Step 2: Convert to fraction form
    1,804.74/2,706.64 = 764.21/x
  3. Step 3: Cross multiply
    1,804.74x = 2,706.64 × 764.21
  4. Step 4: Simplify right side
    1,804.74x = 2,068,433.13
  5. Step 5: Solve for x
    x = 2,068,433.13/1,804.74
  6. Step 6: Final answer
    x = 1,146.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.