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Finding the Fourth Proportional to 1,884.04, 2,824.18 and 650.84

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Solution

The fourth proportional to 1,884.04, 2,824.18 and 650.84 is: 975.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.04 : 2,824.18 = 650.84 : x
  2. Step 2: Convert to fraction form
    1,884.04/2,824.18 = 650.84/x
  3. Step 3: Cross multiply
    1,884.04x = 2,824.18 × 650.84
  4. Step 4: Simplify right side
    1,884.04x = 1,838,089.31
  5. Step 5: Solve for x
    x = 1,838,089.31/1,884.04
  6. Step 6: Final answer
    x = 975.61

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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.