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Finding the Fourth Proportional to 2,773.96, 4,161.51 and 1,130.52

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Solution

The fourth proportional to 2,773.96, 4,161.51 and 1,130.52 is: 1,696.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.96 : 4,161.51 = 1,130.52 : x
  2. Step 2: Convert to fraction form
    2,773.96/4,161.51 = 1,130.52/x
  3. Step 3: Cross multiply
    2,773.96x = 4,161.51 × 1,130.52
  4. Step 4: Simplify right side
    2,773.96x = 4,704,670.29
  5. Step 5: Solve for x
    x = 4,704,670.29/2,773.96
  6. Step 6: Final answer
    x = 1,696.01

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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.