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Finding the Fourth Proportional to 4,460.63, 6,691.35 and 1,173.74

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Solution

The fourth proportional to 4,460.63, 6,691.35 and 1,173.74 is: 1,760.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,460.63 : 6,691.35 = 1,173.74 : x
  2. Step 2: Convert to fraction form
    4,460.63/6,691.35 = 1,173.74/x
  3. Step 3: Cross multiply
    4,460.63x = 6,691.35 × 1,173.74
  4. Step 4: Simplify right side
    4,460.63x = 7,853,871.69
  5. Step 5: Solve for x
    x = 7,853,871.69/4,460.63
  6. Step 6: Final answer
    x = 1,760.71

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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.