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Finding the Fourth Proportional to 1,984.52, 2,738.60 and 1,156.52

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Solution

The fourth proportional to 1,984.52, 2,738.60 and 1,156.52 is: 1,595.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.52 : 2,738.60 = 1,156.52 : x
  2. Step 2: Convert to fraction form
    1,984.52/2,738.60 = 1,156.52/x
  3. Step 3: Cross multiply
    1,984.52x = 2,738.60 × 1,156.52
  4. Step 4: Simplify right side
    1,984.52x = 3,167,245.67
  5. Step 5: Solve for x
    x = 3,167,245.67/1,984.52
  6. Step 6: Final answer
    x = 1,595.98

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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.