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Finding the Fourth Proportional to 1,710.33, 2,360.49 and 964.59

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Solution

The fourth proportional to 1,710.33, 2,360.49 and 964.59 is: 1,331.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.33 : 2,360.49 = 964.59 : x
  2. Step 2: Convert to fraction form
    1,710.33/2,360.49 = 964.59/x
  3. Step 3: Cross multiply
    1,710.33x = 2,360.49 × 964.59
  4. Step 4: Simplify right side
    1,710.33x = 2,276,905.05
  5. Step 5: Solve for x
    x = 2,276,905.05/1,710.33
  6. Step 6: Final answer
    x = 1,331.27

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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.