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Finding the Fourth Proportional to 3,410.30, 4,706.08 and 1,918.30

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Solution

The fourth proportional to 3,410.30, 4,706.08 and 1,918.30 is: 2,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.30 : 4,706.08 = 1,918.30 : x
  2. Step 2: Convert to fraction form
    3,410.30/4,706.08 = 1,918.30/x
  3. Step 3: Cross multiply
    3,410.30x = 4,706.08 × 1,918.30
  4. Step 4: Simplify right side
    3,410.30x = 9,027,673.26
  5. Step 5: Solve for x
    x = 9,027,673.26/3,410.30
  6. Step 6: Final answer
    x = 2,647.18

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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.