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Finding the Fourth Proportional to 1,748.15, 2,610.09 and 1,730.60

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Solution

The fourth proportional to 1,748.15, 2,610.09 and 1,730.60 is: 2,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.15 : 2,610.09 = 1,730.60 : x
  2. Step 2: Convert to fraction form
    1,748.15/2,610.09 = 1,730.60/x
  3. Step 3: Cross multiply
    1,748.15x = 2,610.09 × 1,730.60
  4. Step 4: Simplify right side
    1,748.15x = 4,517,018.49
  5. Step 5: Solve for x
    x = 4,517,018.49/1,748.15
  6. Step 6: Final answer
    x = 2,583.89

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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.