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Finding the Fourth Proportional to 3,410.53, 4,706.06 and 1,918.20

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Solution

The fourth proportional to 3,410.53, 4,706.06 and 1,918.20 is: 2,646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.53 : 4,706.06 = 1,918.20 : x
  2. Step 2: Convert to fraction form
    3,410.53/4,706.06 = 1,918.20/x
  3. Step 3: Cross multiply
    3,410.53x = 4,706.06 × 1,918.20
  4. Step 4: Simplify right side
    3,410.53x = 9,027,164.29
  5. Step 5: Solve for x
    x = 9,027,164.29/3,410.53
  6. Step 6: Final answer
    x = 2,646.85

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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.