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Finding the Fourth Proportional to 1,533.70, 2,122.02 and 1,337.62

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Solution

The fourth proportional to 1,533.70, 2,122.02 and 1,337.62 is: 1,850.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.70 : 2,122.02 = 1,337.62 : x
  2. Step 2: Convert to fraction form
    1,533.70/2,122.02 = 1,337.62/x
  3. Step 3: Cross multiply
    1,533.70x = 2,122.02 × 1,337.62
  4. Step 4: Simplify right side
    1,533.70x = 2,838,456.39
  5. Step 5: Solve for x
    x = 2,838,456.39/1,533.70
  6. Step 6: Final answer
    x = 1,850.72

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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.