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Finding the Fourth Proportional to 1,706.54, 2,560 and 1,276.44

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Solution

The fourth proportional to 1,706.54, 2,560 and 1,276.44 is: 1,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.54 : 2,560 = 1,276.44 : x
  2. Step 2: Convert to fraction form
    1,706.54/2,560 = 1,276.44/x
  3. Step 3: Cross multiply
    1,706.54x = 2,560 × 1,276.44
  4. Step 4: Simplify right side
    1,706.54x = 3,267,686.40
  5. Step 5: Solve for x
    x = 3,267,686.40/1,706.54
  6. Step 6: Final answer
    x = 1,914.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.