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Finding the Fourth Proportional to 1,804.39, 2,706.65 and 778.39

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Solution

The fourth proportional to 1,804.39, 2,706.65 and 778.39 is: 1,167.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.39 : 2,706.65 = 778.39 : x
  2. Step 2: Convert to fraction form
    1,804.39/2,706.65 = 778.39/x
  3. Step 3: Cross multiply
    1,804.39x = 2,706.65 × 778.39
  4. Step 4: Simplify right side
    1,804.39x = 2,106,829.29
  5. Step 5: Solve for x
    x = 2,106,829.29/1,804.39
  6. Step 6: Final answer
    x = 1,167.61

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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.