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Finding the Fourth Proportional to 1,457.61, 2,012.23 and 927.02

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Solution

The fourth proportional to 1,457.61, 2,012.23 and 927.02 is: 1,279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.61 : 2,012.23 = 927.02 : x
  2. Step 2: Convert to fraction form
    1,457.61/2,012.23 = 927.02/x
  3. Step 3: Cross multiply
    1,457.61x = 2,012.23 × 927.02
  4. Step 4: Simplify right side
    1,457.61x = 1,865,383.64
  5. Step 5: Solve for x
    x = 1,865,383.64/1,457.61
  6. Step 6: Final answer
    x = 1,279.76

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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.