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Finding the Fourth Proportional to 1,655.89, 2,285.00 and 957.31

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Solution

The fourth proportional to 1,655.89, 2,285.00 and 957.31 is: 1,321.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.89 : 2,285.00 = 957.31 : x
  2. Step 2: Convert to fraction form
    1,655.89/2,285.00 = 957.31/x
  3. Step 3: Cross multiply
    1,655.89x = 2,285.00 × 957.31
  4. Step 4: Simplify right side
    1,655.89x = 2,187,448.56
  5. Step 5: Solve for x
    x = 2,187,448.56/1,655.89
  6. Step 6: Final answer
    x = 1,321.01

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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.