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Finding the Fourth Proportional to 1,706.67, 2,560.34 and 611.01

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Solution

The fourth proportional to 1,706.67, 2,560.34 and 611.01 is: 916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.67 : 2,560.34 = 611.01 : x
  2. Step 2: Convert to fraction form
    1,706.67/2,560.34 = 611.01/x
  3. Step 3: Cross multiply
    1,706.67x = 2,560.34 × 611.01
  4. Step 4: Simplify right side
    1,706.67x = 1,564,394.87
  5. Step 5: Solve for x
    x = 1,564,394.87/1,706.67
  6. Step 6: Final answer
    x = 916.64

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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.