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Finding the Fourth Proportional to 2,773.59, 4,149.86 and 1,541.99

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Solution

The fourth proportional to 2,773.59, 4,149.86 and 1,541.99 is: 2,307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.59 : 4,149.86 = 1,541.99 : x
  2. Step 2: Convert to fraction form
    2,773.59/4,149.86 = 1,541.99/x
  3. Step 3: Cross multiply
    2,773.59x = 4,149.86 × 1,541.99
  4. Step 4: Simplify right side
    2,773.59x = 6,399,014.16
  5. Step 5: Solve for x
    x = 6,399,014.16/2,773.59
  6. Step 6: Final answer
    x = 2,307.12

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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.