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Finding the Fourth Proportional to 1,751.74, 2,605.86 and 1,734.14

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Solution

The fourth proportional to 1,751.74, 2,605.86 and 1,734.14 is: 2,579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.74 : 2,605.86 = 1,734.14 : x
  2. Step 2: Convert to fraction form
    1,751.74/2,605.86 = 1,734.14/x
  3. Step 3: Cross multiply
    1,751.74x = 2,605.86 × 1,734.14
  4. Step 4: Simplify right side
    1,751.74x = 4,518,926.06
  5. Step 5: Solve for x
    x = 4,518,926.06/1,751.74
  6. Step 6: Final answer
    x = 2,579.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.