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Finding the Fourth Proportional to 1,374.10, 1,896.20 and 784.60

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Solution

The fourth proportional to 1,374.10, 1,896.20 and 784.60 is: 1,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.10 : 1,896.20 = 784.60 : x
  2. Step 2: Convert to fraction form
    1,374.10/1,896.20 = 784.60/x
  3. Step 3: Cross multiply
    1,374.10x = 1,896.20 × 784.60
  4. Step 4: Simplify right side
    1,374.10x = 1,487,754.60
  5. Step 5: Solve for x
    x = 1,487,754.60/1,374.10
  6. Step 6: Final answer
    x = 1,082.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.