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Finding the Fourth Proportional to 1,457.03, 2,184.73 and 809.03

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Solution

The fourth proportional to 1,457.03, 2,184.73 and 809.03 is: 1,213.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.03 : 2,184.73 = 809.03 : x
  2. Step 2: Convert to fraction form
    1,457.03/2,184.73 = 809.03/x
  3. Step 3: Cross multiply
    1,457.03x = 2,184.73 × 809.03
  4. Step 4: Simplify right side
    1,457.03x = 1,767,512.11
  5. Step 5: Solve for x
    x = 1,767,512.11/1,457.03
  6. Step 6: Final answer
    x = 1,213.09

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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.