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Finding the Fourth Proportional to 2,027.68, 3,036.08 and 1,410.08

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Solution

The fourth proportional to 2,027.68, 3,036.08 and 1,410.08 is: 2,111.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.68 : 3,036.08 = 1,410.08 : x
  2. Step 2: Convert to fraction form
    2,027.68/3,036.08 = 1,410.08/x
  3. Step 3: Cross multiply
    2,027.68x = 3,036.08 × 1,410.08
  4. Step 4: Simplify right side
    2,027.68x = 4,281,115.69
  5. Step 5: Solve for x
    x = 4,281,115.69/2,027.68
  6. Step 6: Final answer
    x = 2,111.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.