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Finding the Fourth Proportional to 3,294.54, 4,546.53 and 1,970.10

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Solution

The fourth proportional to 3,294.54, 4,546.53 and 1,970.10 is: 2,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.54 : 4,546.53 = 1,970.10 : x
  2. Step 2: Convert to fraction form
    3,294.54/4,546.53 = 1,970.10/x
  3. Step 3: Cross multiply
    3,294.54x = 4,546.53 × 1,970.10
  4. Step 4: Simplify right side
    3,294.54x = 8,957,118.75
  5. Step 5: Solve for x
    x = 8,957,118.75/3,294.54
  6. Step 6: Final answer
    x = 2,718.78

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Why These Related Problems?

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