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Finding the Fourth Proportional to 3,077.94, 4,609.54 and 1,775.46

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Solution

The fourth proportional to 3,077.94, 4,609.54 and 1,775.46 is: 2,658.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.94 : 4,609.54 = 1,775.46 : x
  2. Step 2: Convert to fraction form
    3,077.94/4,609.54 = 1,775.46/x
  3. Step 3: Cross multiply
    3,077.94x = 4,609.54 × 1,775.46
  4. Step 4: Simplify right side
    3,077.94x = 8,184,053.89
  5. Step 5: Solve for x
    x = 8,184,053.89/3,077.94
  6. Step 6: Final answer
    x = 2,658.94

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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.