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Finding the Fourth Proportional to 3,410.32, 4,705.94 and 1,918.04

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Solution

The fourth proportional to 3,410.32, 4,705.94 and 1,918.04 is: 2,646.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.32 : 4,705.94 = 1,918.04 : x
  2. Step 2: Convert to fraction form
    3,410.32/4,705.94 = 1,918.04/x
  3. Step 3: Cross multiply
    3,410.32x = 4,705.94 × 1,918.04
  4. Step 4: Simplify right side
    3,410.32x = 9,026,181.16
  5. Step 5: Solve for x
    x = 9,026,181.16/3,410.32
  6. Step 6: Final answer
    x = 2,646.73

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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.