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Finding the Fourth Proportional to 2,612.34, 3,920.76 and 970.38

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Solution

The fourth proportional to 2,612.34, 3,920.76 and 970.38 is: 1,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.34 : 3,920.76 = 970.38 : x
  2. Step 2: Convert to fraction form
    2,612.34/3,920.76 = 970.38/x
  3. Step 3: Cross multiply
    2,612.34x = 3,920.76 × 970.38
  4. Step 4: Simplify right side
    2,612.34x = 3,804,627.09
  5. Step 5: Solve for x
    x = 3,804,627.09/2,612.34
  6. Step 6: Final answer
    x = 1,456.41

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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.