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Finding the Fourth Proportional to 1,656.44, 2,285.76 and 957.80

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Solution

The fourth proportional to 1,656.44, 2,285.76 and 957.80 is: 1,321.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.44 : 2,285.76 = 957.80 : x
  2. Step 2: Convert to fraction form
    1,656.44/2,285.76 = 957.80/x
  3. Step 3: Cross multiply
    1,656.44x = 2,285.76 × 957.80
  4. Step 4: Simplify right side
    1,656.44x = 2,189,300.93
  5. Step 5: Solve for x
    x = 2,189,300.93/1,656.44
  6. Step 6: Final answer
    x = 1,321.69

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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.