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Finding the Fourth Proportional to 2,975.57, 4,463.98 and 1,126.64

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Solution

The fourth proportional to 2,975.57, 4,463.98 and 1,126.64 is: 1,690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.57 : 4,463.98 = 1,126.64 : x
  2. Step 2: Convert to fraction form
    2,975.57/4,463.98 = 1,126.64/x
  3. Step 3: Cross multiply
    2,975.57x = 4,463.98 × 1,126.64
  4. Step 4: Simplify right side
    2,975.57x = 5,029,306.77
  5. Step 5: Solve for x
    x = 5,029,306.77/2,975.57
  6. Step 6: Final answer
    x = 1,690.20

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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.