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Finding the Fourth Proportional to 1,370.46, 1,891.59 and 839.52

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Solution

The fourth proportional to 1,370.46, 1,891.59 and 839.52 is: 1,158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.46 : 1,891.59 = 839.52 : x
  2. Step 2: Convert to fraction form
    1,370.46/1,891.59 = 839.52/x
  3. Step 3: Cross multiply
    1,370.46x = 1,891.59 × 839.52
  4. Step 4: Simplify right side
    1,370.46x = 1,588,027.64
  5. Step 5: Solve for x
    x = 1,588,027.64/1,370.46
  6. Step 6: Final answer
    x = 1,158.76

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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.