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Finding the Fourth Proportional to 1,655.65, 2,481.81 and 923.68

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Solution

The fourth proportional to 1,655.65, 2,481.81 and 923.68 is: 1,384.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.65 : 2,481.81 = 923.68 : x
  2. Step 2: Convert to fraction form
    1,655.65/2,481.81 = 923.68/x
  3. Step 3: Cross multiply
    1,655.65x = 2,481.81 × 923.68
  4. Step 4: Simplify right side
    1,655.65x = 2,292,398.26
  5. Step 5: Solve for x
    x = 2,292,398.26/1,655.65
  6. Step 6: Final answer
    x = 1,384.59

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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.