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Finding the Fourth Proportional to 3,402.50, 4,695.45 and 1,930.50

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Solution

The fourth proportional to 3,402.50, 4,695.45 and 1,930.50 is: 2,664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.50 : 4,695.45 = 1,930.50 : x
  2. Step 2: Convert to fraction form
    3,402.50/4,695.45 = 1,930.50/x
  3. Step 3: Cross multiply
    3,402.50x = 4,695.45 × 1,930.50
  4. Step 4: Simplify right side
    3,402.50x = 9,064,566.23
  5. Step 5: Solve for x
    x = 9,064,566.23/3,402.50
  6. Step 6: Final answer
    x = 2,664.09

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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.