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Finding the Fourth Proportional to 1,710.78, 2,361.02 and 964.73

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Solution

The fourth proportional to 1,710.78, 2,361.02 and 964.73 is: 1,331.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.78 : 2,361.02 = 964.73 : x
  2. Step 2: Convert to fraction form
    1,710.78/2,361.02 = 964.73/x
  3. Step 3: Cross multiply
    1,710.78x = 2,361.02 × 964.73
  4. Step 4: Simplify right side
    1,710.78x = 2,277,730.20
  5. Step 5: Solve for x
    x = 2,277,730.20/1,710.78
  6. Step 6: Final answer
    x = 1,331.40

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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.