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Finding the Fourth Proportional to 2,841.76, 4,259.89 and 1,746.44

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Solution

The fourth proportional to 2,841.76, 4,259.89 and 1,746.44 is: 2,617.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.76 : 4,259.89 = 1,746.44 : x
  2. Step 2: Convert to fraction form
    2,841.76/4,259.89 = 1,746.44/x
  3. Step 3: Cross multiply
    2,841.76x = 4,259.89 × 1,746.44
  4. Step 4: Simplify right side
    2,841.76x = 7,439,642.29
  5. Step 5: Solve for x
    x = 7,439,642.29/2,841.76
  6. Step 6: Final answer
    x = 2,617.97

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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.