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Finding the Fourth Proportional to 2,133.85, 2,946.50 and 1,505.09

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Solution

The fourth proportional to 2,133.85, 2,946.50 and 1,505.09 is: 2,078.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.85 : 2,946.50 = 1,505.09 : x
  2. Step 2: Convert to fraction form
    2,133.85/2,946.50 = 1,505.09/x
  3. Step 3: Cross multiply
    2,133.85x = 2,946.50 × 1,505.09
  4. Step 4: Simplify right side
    2,133.85x = 4,434,747.69
  5. Step 5: Solve for x
    x = 4,434,747.69/2,133.85
  6. Step 6: Final answer
    x = 2,078.28

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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.