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Finding the Fourth Proportional to 3,410.04, 4,706.03 and 1,918.42

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Solution

The fourth proportional to 3,410.04, 4,706.03 and 1,918.42 is: 2,647.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.04 : 4,706.03 = 1,918.42 : x
  2. Step 2: Convert to fraction form
    3,410.04/4,706.03 = 1,918.42/x
  3. Step 3: Cross multiply
    3,410.04x = 4,706.03 × 1,918.42
  4. Step 4: Simplify right side
    3,410.04x = 9,028,142.07
  5. Step 5: Solve for x
    x = 9,028,142.07/3,410.04
  6. Step 6: Final answer
    x = 2,647.52

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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.