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Finding the Fourth Proportional to 1,706.12, 2,354.64 and 960.26

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Solution

The fourth proportional to 1,706.12, 2,354.64 and 960.26 is: 1,325.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.12 : 2,354.64 = 960.26 : x
  2. Step 2: Convert to fraction form
    1,706.12/2,354.64 = 960.26/x
  3. Step 3: Cross multiply
    1,706.12x = 2,354.64 × 960.26
  4. Step 4: Simplify right side
    1,706.12x = 2,261,061.81
  5. Step 5: Solve for x
    x = 2,261,061.81/1,706.12
  6. Step 6: Final answer
    x = 1,325.27

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1.5x scale

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.