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Finding the Fourth Proportional to 1,457.07, 2,185.07 and 635.15

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Solution

The fourth proportional to 1,457.07, 2,185.07 and 635.15 is: 952.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.07 : 2,185.07 = 635.15 : x
  2. Step 2: Convert to fraction form
    1,457.07/2,185.07 = 635.15/x
  3. Step 3: Cross multiply
    1,457.07x = 2,185.07 × 635.15
  4. Step 4: Simplify right side
    1,457.07x = 1,387,836.29
  5. Step 5: Solve for x
    x = 1,387,836.29/1,457.07
  6. Step 6: Final answer
    x = 952.48

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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.