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Finding the Fourth Proportional to 2,773.64, 4,157.90 and 1,041.16

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Solution

The fourth proportional to 2,773.64, 4,157.90 and 1,041.16 is: 1,560.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.64 : 4,157.90 = 1,041.16 : x
  2. Step 2: Convert to fraction form
    2,773.64/4,157.90 = 1,041.16/x
  3. Step 3: Cross multiply
    2,773.64x = 4,157.90 × 1,041.16
  4. Step 4: Simplify right side
    2,773.64x = 4,329,039.16
  5. Step 5: Solve for x
    x = 4,329,039.16/2,773.64
  6. Step 6: Final answer
    x = 1,560.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.