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Finding the Fourth Proportional to 2,134.02, 2,945.79 and 1,505.46

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Solution

The fourth proportional to 2,134.02, 2,945.79 and 1,505.46 is: 2,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.02 : 2,945.79 = 1,505.46 : x
  2. Step 2: Convert to fraction form
    2,134.02/2,945.79 = 1,505.46/x
  3. Step 3: Cross multiply
    2,134.02x = 2,945.79 × 1,505.46
  4. Step 4: Simplify right side
    2,134.02x = 4,434,769.01
  5. Step 5: Solve for x
    x = 4,434,769.01/2,134.02
  6. Step 6: Final answer
    x = 2,078.13

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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.