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Finding the Fourth Proportional to 2,651.84, 3,958.40 and 2,459.13

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Solution

The fourth proportional to 2,651.84, 3,958.40 and 2,459.13 is: 3,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.84 : 3,958.40 = 2,459.13 : x
  2. Step 2: Convert to fraction form
    2,651.84/3,958.40 = 2,459.13/x
  3. Step 3: Cross multiply
    2,651.84x = 3,958.40 × 2,459.13
  4. Step 4: Simplify right side
    2,651.84x = 9,734,211.50
  5. Step 5: Solve for x
    x = 9,734,211.50/2,651.84
  6. Step 6: Final answer
    x = 3,670.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.