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Finding the Fourth Proportional to 1,683.90, 2,525.51 and 573.21

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Solution

The fourth proportional to 1,683.90, 2,525.51 and 573.21 is: 859.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.90 : 2,525.51 = 573.21 : x
  2. Step 2: Convert to fraction form
    1,683.90/2,525.51 = 573.21/x
  3. Step 3: Cross multiply
    1,683.90x = 2,525.51 × 573.21
  4. Step 4: Simplify right side
    1,683.90x = 1,447,644.72
  5. Step 5: Solve for x
    x = 1,447,644.72/1,683.90
  6. Step 6: Final answer
    x = 859.70

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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.