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Finding the Fourth Proportional to 1,423.49, 2,134.83 and 902.71

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Solution

The fourth proportional to 1,423.49, 2,134.83 and 902.71 is: 1,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.49 : 2,134.83 = 902.71 : x
  2. Step 2: Convert to fraction form
    1,423.49/2,134.83 = 902.71/x
  3. Step 3: Cross multiply
    1,423.49x = 2,134.83 × 902.71
  4. Step 4: Simplify right side
    1,423.49x = 1,927,121.72
  5. Step 5: Solve for x
    x = 1,927,121.72/1,423.49
  6. Step 6: Final answer
    x = 1,353.80

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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.