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Finding the Fourth Proportional to 1,684.15, 2,526.86 and 644.53

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Solution

The fourth proportional to 1,684.15, 2,526.86 and 644.53 is: 967.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.15 : 2,526.86 = 644.53 : x
  2. Step 2: Convert to fraction form
    1,684.15/2,526.86 = 644.53/x
  3. Step 3: Cross multiply
    1,684.15x = 2,526.86 × 644.53
  4. Step 4: Simplify right side
    1,684.15x = 1,628,633.85
  5. Step 5: Solve for x
    x = 1,628,633.85/1,684.15
  6. Step 6: Final answer
    x = 967.04

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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.