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Finding the Fourth Proportional to 1,999.32, 2,758.32 and 1,410.36

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Solution

The fourth proportional to 1,999.32, 2,758.32 and 1,410.36 is: 1,945.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.32 : 2,758.32 = 1,410.36 : x
  2. Step 2: Convert to fraction form
    1,999.32/2,758.32 = 1,410.36/x
  3. Step 3: Cross multiply
    1,999.32x = 2,758.32 × 1,410.36
  4. Step 4: Simplify right side
    1,999.32x = 3,890,224.20
  5. Step 5: Solve for x
    x = 3,890,224.20/1,999.32
  6. Step 6: Final answer
    x = 1,945.77

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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.