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Finding the Fourth Proportional to 3,264.98, 4,902.93 and 1,783.35

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Solution

The fourth proportional to 3,264.98, 4,902.93 and 1,783.35 is: 2,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.98 : 4,902.93 = 1,783.35 : x
  2. Step 2: Convert to fraction form
    3,264.98/4,902.93 = 1,783.35/x
  3. Step 3: Cross multiply
    3,264.98x = 4,902.93 × 1,783.35
  4. Step 4: Simplify right side
    3,264.98x = 8,743,640.22
  5. Step 5: Solve for x
    x = 8,743,640.22/3,264.98
  6. Step 6: Final answer
    x = 2,678.01

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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.