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Finding the Fourth Proportional to 4,590.64, 6,884.88 and 1,669.60

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Solution

The fourth proportional to 4,590.64, 6,884.88 and 1,669.60 is: 2,504.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.64 : 6,884.88 = 1,669.60 : x
  2. Step 2: Convert to fraction form
    4,590.64/6,884.88 = 1,669.60/x
  3. Step 3: Cross multiply
    4,590.64x = 6,884.88 × 1,669.60
  4. Step 4: Simplify right side
    4,590.64x = 11,494,995.65
  5. Step 5: Solve for x
    x = 11,494,995.65/4,590.64
  6. Step 6: Final answer
    x = 2,504.01

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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.