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Finding the Fourth Proportional to 3,270.54, 4,906.51 and 1,710.13

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Solution

The fourth proportional to 3,270.54, 4,906.51 and 1,710.13 is: 2,565.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.54 : 4,906.51 = 1,710.13 : x
  2. Step 2: Convert to fraction form
    3,270.54/4,906.51 = 1,710.13/x
  3. Step 3: Cross multiply
    3,270.54x = 4,906.51 × 1,710.13
  4. Step 4: Simplify right side
    3,270.54x = 8,390,749.13
  5. Step 5: Solve for x
    x = 8,390,749.13/3,270.54
  6. Step 6: Final answer
    x = 2,565.55

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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.