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Finding the Fourth Proportional to 2,854.98, 4,279.94 and 1,539.46

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Solution

The fourth proportional to 2,854.98, 4,279.94 and 1,539.46 is: 2,307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.98 : 4,279.94 = 1,539.46 : x
  2. Step 2: Convert to fraction form
    2,854.98/4,279.94 = 1,539.46/x
  3. Step 3: Cross multiply
    2,854.98x = 4,279.94 × 1,539.46
  4. Step 4: Simplify right side
    2,854.98x = 6,588,796.43
  5. Step 5: Solve for x
    x = 6,588,796.43/2,854.98
  6. Step 6: Final answer
    x = 2,307.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.