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Finding the Fourth Proportional to 1,975.56, 2,963.38 and 514.76

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Solution

The fourth proportional to 1,975.56, 2,963.38 and 514.76 is: 772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.56 : 2,963.38 = 514.76 : x
  2. Step 2: Convert to fraction form
    1,975.56/2,963.38 = 514.76/x
  3. Step 3: Cross multiply
    1,975.56x = 2,963.38 × 514.76
  4. Step 4: Simplify right side
    1,975.56x = 1,525,429.49
  5. Step 5: Solve for x
    x = 1,525,429.49/1,975.56
  6. Step 6: Final answer
    x = 772.15

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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.