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Finding the Fourth Proportional to 1,656.24, 2,285.74 and 957.76

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Solution

The fourth proportional to 1,656.24, 2,285.74 and 957.76 is: 1,321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.24 : 2,285.74 = 957.76 : x
  2. Step 2: Convert to fraction form
    1,656.24/2,285.74 = 957.76/x
  3. Step 3: Cross multiply
    1,656.24x = 2,285.74 × 957.76
  4. Step 4: Simplify right side
    1,656.24x = 2,189,190.34
  5. Step 5: Solve for x
    x = 2,189,190.34/1,656.24
  6. Step 6: Final answer
    x = 1,321.78

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Why These Related Problems?

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