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Finding the Fourth Proportional to 2,689.56, 4,033.64 and 741.32

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Solution

The fourth proportional to 2,689.56, 4,033.64 and 741.32 is: 1,111.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.56 : 4,033.64 = 741.32 : x
  2. Step 2: Convert to fraction form
    2,689.56/4,033.64 = 741.32/x
  3. Step 3: Cross multiply
    2,689.56x = 4,033.64 × 741.32
  4. Step 4: Simplify right side
    2,689.56x = 2,990,218.00
  5. Step 5: Solve for x
    x = 2,990,218.00/2,689.56
  6. Step 6: Final answer
    x = 1,111.79

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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.