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Finding the Fourth Proportional to 2,670.82, 3,685.72 and 1,459.50

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Solution

The fourth proportional to 2,670.82, 3,685.72 and 1,459.50 is: 2,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.82 : 3,685.72 = 1,459.50 : x
  2. Step 2: Convert to fraction form
    2,670.82/3,685.72 = 1,459.50/x
  3. Step 3: Cross multiply
    2,670.82x = 3,685.72 × 1,459.50
  4. Step 4: Simplify right side
    2,670.82x = 5,379,308.34
  5. Step 5: Solve for x
    x = 5,379,308.34/2,670.82
  6. Step 6: Final answer
    x = 2,014.10

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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.