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Finding the Fourth Proportional to 1,401.46, 2,103.06 and 951.64

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Solution

The fourth proportional to 1,401.46, 2,103.06 and 951.64 is: 1,428.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.46 : 2,103.06 = 951.64 : x
  2. Step 2: Convert to fraction form
    1,401.46/2,103.06 = 951.64/x
  3. Step 3: Cross multiply
    1,401.46x = 2,103.06 × 951.64
  4. Step 4: Simplify right side
    1,401.46x = 2,001,356.02
  5. Step 5: Solve for x
    x = 2,001,356.02/1,401.46
  6. Step 6: Final answer
    x = 1,428.05

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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.