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Finding the Fourth Proportional to 1,563.62, 2,156.93 and 965.70

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Solution

The fourth proportional to 1,563.62, 2,156.93 and 965.70 is: 1,332.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.62 : 2,156.93 = 965.70 : x
  2. Step 2: Convert to fraction form
    1,563.62/2,156.93 = 965.70/x
  3. Step 3: Cross multiply
    1,563.62x = 2,156.93 × 965.70
  4. Step 4: Simplify right side
    1,563.62x = 2,082,940.03
  5. Step 5: Solve for x
    x = 2,082,940.03/1,563.62
  6. Step 6: Final answer
    x = 1,332.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.