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Finding the Fourth Proportional to 3,308.49, 4,964.90 and 1,577.25

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Solution

The fourth proportional to 3,308.49, 4,964.90 and 1,577.25 is: 2,366.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.49 : 4,964.90 = 1,577.25 : x
  2. Step 2: Convert to fraction form
    3,308.49/4,964.90 = 1,577.25/x
  3. Step 3: Cross multiply
    3,308.49x = 4,964.90 × 1,577.25
  4. Step 4: Simplify right side
    3,308.49x = 7,830,880.64
  5. Step 5: Solve for x
    x = 7,830,880.64/3,308.49
  6. Step 6: Final answer
    x = 2,366.90

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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.