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Finding the Fourth Proportional to 2,967.59, 4,457.99 and 2,809.94

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Solution

The fourth proportional to 2,967.59, 4,457.99 and 2,809.94 is: 4,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.59 : 4,457.99 = 2,809.94 : x
  2. Step 2: Convert to fraction form
    2,967.59/4,457.99 = 2,809.94/x
  3. Step 3: Cross multiply
    2,967.59x = 4,457.99 × 2,809.94
  4. Step 4: Simplify right side
    2,967.59x = 12,526,678.43
  5. Step 5: Solve for x
    x = 12,526,678.43/2,967.59
  6. Step 6: Final answer
    x = 4,221.17

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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.