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Finding the Fourth Proportional to 2,774.91, 4,159.61 and 1,130.41

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Solution

The fourth proportional to 2,774.91, 4,159.61 and 1,130.41 is: 1,694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.91 : 4,159.61 = 1,130.41 : x
  2. Step 2: Convert to fraction form
    2,774.91/4,159.61 = 1,130.41/x
  3. Step 3: Cross multiply
    2,774.91x = 4,159.61 × 1,130.41
  4. Step 4: Simplify right side
    2,774.91x = 4,702,059.09
  5. Step 5: Solve for x
    x = 4,702,059.09/2,774.91
  6. Step 6: Final answer
    x = 1,694.49

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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.