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Finding the Fourth Proportional to 1,804.17, 2,707.46 and 634.17

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Solution

The fourth proportional to 1,804.17, 2,707.46 and 634.17 is: 951.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.17 : 2,707.46 = 634.17 : x
  2. Step 2: Convert to fraction form
    1,804.17/2,707.46 = 634.17/x
  3. Step 3: Cross multiply
    1,804.17x = 2,707.46 × 634.17
  4. Step 4: Simplify right side
    1,804.17x = 1,716,986.74
  5. Step 5: Solve for x
    x = 1,716,986.74/1,804.17
  6. Step 6: Final answer
    x = 951.68

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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.