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Finding the Fourth Proportional to 2,975.38, 4,464.03 and 1,126.64

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Solution

The fourth proportional to 2,975.38, 4,464.03 and 1,126.64 is: 1,690.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.38 : 4,464.03 = 1,126.64 : x
  2. Step 2: Convert to fraction form
    2,975.38/4,464.03 = 1,126.64/x
  3. Step 3: Cross multiply
    2,975.38x = 4,464.03 × 1,126.64
  4. Step 4: Simplify right side
    2,975.38x = 5,029,354.76
  5. Step 5: Solve for x
    x = 5,029,354.76/2,975.38
  6. Step 6: Final answer
    x = 1,690.32

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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.