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Finding the Fourth Proportional to 1,686.85, 2,325.96 and 1,450.53

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Solution

The fourth proportional to 1,686.85, 2,325.96 and 1,450.53 is: 2,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.85 : 2,325.96 = 1,450.53 : x
  2. Step 2: Convert to fraction form
    1,686.85/2,325.96 = 1,450.53/x
  3. Step 3: Cross multiply
    1,686.85x = 2,325.96 × 1,450.53
  4. Step 4: Simplify right side
    1,686.85x = 3,373,874.76
  5. Step 5: Solve for x
    x = 3,373,874.76/1,686.85
  6. Step 6: Final answer
    x = 2,000.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.