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Finding the Fourth Proportional to 1,749.94, 2,414.91 and 964.00

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Solution

The fourth proportional to 1,749.94, 2,414.91 and 964.00 is: 1,330.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.94 : 2,414.91 = 964.00 : x
  2. Step 2: Convert to fraction form
    1,749.94/2,414.91 = 964.00/x
  3. Step 3: Cross multiply
    1,749.94x = 2,414.91 × 964.00
  4. Step 4: Simplify right side
    1,749.94x = 2,327,979.87
  5. Step 5: Solve for x
    x = 2,327,979.87/1,749.94
  6. Step 6: Final answer
    x = 1,330.32

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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.