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Finding the Fourth Proportional to 2,457.69, 3,679.48 and 2,284.70

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Solution

The fourth proportional to 2,457.69, 3,679.48 and 2,284.70 is: 3,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.69 : 3,679.48 = 2,284.70 : x
  2. Step 2: Convert to fraction form
    2,457.69/3,679.48 = 2,284.70/x
  3. Step 3: Cross multiply
    2,457.69x = 3,679.48 × 2,284.70
  4. Step 4: Simplify right side
    2,457.69x = 8,406,489.91
  5. Step 5: Solve for x
    x = 8,406,489.91/2,457.69
  6. Step 6: Final answer
    x = 3,420.48

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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.