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Finding the Fourth Proportional to 2,498.14, 3,751.69 and 1,730.14

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Solution

The fourth proportional to 2,498.14, 3,751.69 and 1,730.14 is: 2,598.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.14 : 3,751.69 = 1,730.14 : x
  2. Step 2: Convert to fraction form
    2,498.14/3,751.69 = 1,730.14/x
  3. Step 3: Cross multiply
    2,498.14x = 3,751.69 × 1,730.14
  4. Step 4: Simplify right side
    2,498.14x = 6,490,948.94
  5. Step 5: Solve for x
    x = 6,490,948.94/2,498.14
  6. Step 6: Final answer
    x = 2,598.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.