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Finding the Fourth Proportional to 1,431.57, 2,145.34 and 609.02

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Solution

The fourth proportional to 1,431.57, 2,145.34 and 609.02 is: 912.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.57 : 2,145.34 = 609.02 : x
  2. Step 2: Convert to fraction form
    1,431.57/2,145.34 = 609.02/x
  3. Step 3: Cross multiply
    1,431.57x = 2,145.34 × 609.02
  4. Step 4: Simplify right side
    1,431.57x = 1,306,549.62
  5. Step 5: Solve for x
    x = 1,306,549.62/1,431.57
  6. Step 6: Final answer
    x = 912.67

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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.