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Finding the Fourth Proportional to 1,438.84, 2,158.89 and 669.34

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Solution

The fourth proportional to 1,438.84, 2,158.89 and 669.34 is: 1,004.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.84 : 2,158.89 = 669.34 : x
  2. Step 2: Convert to fraction form
    1,438.84/2,158.89 = 669.34/x
  3. Step 3: Cross multiply
    1,438.84x = 2,158.89 × 669.34
  4. Step 4: Simplify right side
    1,438.84x = 1,445,031.43
  5. Step 5: Solve for x
    x = 1,445,031.43/1,438.84
  6. Step 6: Final answer
    x = 1,004.30

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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.