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Finding the Fourth Proportional to 2,125, 2,930.34 and 1,730.80

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Solution

The fourth proportional to 2,125, 2,930.34 and 1,730.80 is: 2,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125 : 2,930.34 = 1,730.80 : x
  2. Step 2: Convert to fraction form
    2,125/2,930.34 = 1,730.80/x
  3. Step 3: Cross multiply
    2,125x = 2,930.34 × 1,730.80
  4. Step 4: Simplify right side
    2,125x = 5,071,832.47
  5. Step 5: Solve for x
    x = 5,071,832.47/2,125
  6. Step 6: Final answer
    x = 2,386.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.