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Finding the Fourth Proportional to 1,710.31, 2,360.25 and 964.31

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Solution

The fourth proportional to 1,710.31, 2,360.25 and 964.31 is: 1,330.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.31 : 2,360.25 = 964.31 : x
  2. Step 2: Convert to fraction form
    1,710.31/2,360.25 = 964.31/x
  3. Step 3: Cross multiply
    1,710.31x = 2,360.25 × 964.31
  4. Step 4: Simplify right side
    1,710.31x = 2,276,004.49
  5. Step 5: Solve for x
    x = 2,276,004.49/1,710.31
  6. Step 6: Final answer
    x = 1,330.76

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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.