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Finding the Fourth Proportional to 2,975.01, 4,463.53 and 1,126.66

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Solution

The fourth proportional to 2,975.01, 4,463.53 and 1,126.66 is: 1,690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.01 : 4,463.53 = 1,126.66 : x
  2. Step 2: Convert to fraction form
    2,975.01/4,463.53 = 1,126.66/x
  3. Step 3: Cross multiply
    2,975.01x = 4,463.53 × 1,126.66
  4. Step 4: Simplify right side
    2,975.01x = 5,028,880.71
  5. Step 5: Solve for x
    x = 5,028,880.71/2,975.01
  6. Step 6: Final answer
    x = 1,690.37

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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.