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Finding the Fourth Proportional to 2,844.66, 4,266.72 and 1,457.22

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Solution

The fourth proportional to 2,844.66, 4,266.72 and 1,457.22 is: 2,185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.66 : 4,266.72 = 1,457.22 : x
  2. Step 2: Convert to fraction form
    2,844.66/4,266.72 = 1,457.22/x
  3. Step 3: Cross multiply
    2,844.66x = 4,266.72 × 1,457.22
  4. Step 4: Simplify right side
    2,844.66x = 6,217,549.72
  5. Step 5: Solve for x
    x = 6,217,549.72/2,844.66
  6. Step 6: Final answer
    x = 2,185.69

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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.