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Finding the Fourth Proportional to 1,656.50, 2,285.97 and 957.88

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Solution

The fourth proportional to 1,656.50, 2,285.97 and 957.88 is: 1,321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.50 : 2,285.97 = 957.88 : x
  2. Step 2: Convert to fraction form
    1,656.50/2,285.97 = 957.88/x
  3. Step 3: Cross multiply
    1,656.50x = 2,285.97 × 957.88
  4. Step 4: Simplify right side
    1,656.50x = 2,189,684.94
  5. Step 5: Solve for x
    x = 2,189,684.94/1,656.50
  6. Step 6: Final answer
    x = 1,321.87

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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.