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Finding the Fourth Proportional to 1,457.93, 2,012.27 and 926.71

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Solution

The fourth proportional to 1,457.93, 2,012.27 and 926.71 is: 1,279.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.93 : 2,012.27 = 926.71 : x
  2. Step 2: Convert to fraction form
    1,457.93/2,012.27 = 926.71/x
  3. Step 3: Cross multiply
    1,457.93x = 2,012.27 × 926.71
  4. Step 4: Simplify right side
    1,457.93x = 1,864,797.45
  5. Step 5: Solve for x
    x = 1,864,797.45/1,457.93
  6. Step 6: Final answer
    x = 1,279.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.