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Finding the Fourth Proportional to 3,036.91, 4,555.34 and 1,189.32

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Solution

The fourth proportional to 3,036.91, 4,555.34 and 1,189.32 is: 1,783.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036.91 : 4,555.34 = 1,189.32 : x
  2. Step 2: Convert to fraction form
    3,036.91/4,555.34 = 1,189.32/x
  3. Step 3: Cross multiply
    3,036.91x = 4,555.34 × 1,189.32
  4. Step 4: Simplify right side
    3,036.91x = 5,417,738.40
  5. Step 5: Solve for x
    x = 5,417,738.40/3,036.91
  6. Step 6: Final answer
    x = 1,783.96

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