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Finding the Fourth Proportional to 1,706.36, 2,561.36 and 841.28

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Solution

The fourth proportional to 1,706.36, 2,561.36 and 841.28 is: 1,262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.36 : 2,561.36 = 841.28 : x
  2. Step 2: Convert to fraction form
    1,706.36/2,561.36 = 841.28/x
  3. Step 3: Cross multiply
    1,706.36x = 2,561.36 × 841.28
  4. Step 4: Simplify right side
    1,706.36x = 2,154,820.94
  5. Step 5: Solve for x
    x = 2,154,820.94/1,706.36
  6. Step 6: Final answer
    x = 1,262.82

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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.