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Finding the Fourth Proportional to 1,457.02, 2,185.17 and 635.02

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Solution

The fourth proportional to 1,457.02, 2,185.17 and 635.02 is: 952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.02 : 2,185.17 = 635.02 : x
  2. Step 2: Convert to fraction form
    1,457.02/2,185.17 = 635.02/x
  3. Step 3: Cross multiply
    1,457.02x = 2,185.17 × 635.02
  4. Step 4: Simplify right side
    1,457.02x = 1,387,626.65
  5. Step 5: Solve for x
    x = 1,387,626.65/1,457.02
  6. Step 6: Final answer
    x = 952.37

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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.