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Finding the Fourth Proportional to 3,104.88, 4,658.01 and 1,460.53

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Solution

The fourth proportional to 3,104.88, 4,658.01 and 1,460.53 is: 2,191.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.88 : 4,658.01 = 1,460.53 : x
  2. Step 2: Convert to fraction form
    3,104.88/4,658.01 = 1,460.53/x
  3. Step 3: Cross multiply
    3,104.88x = 4,658.01 × 1,460.53
  4. Step 4: Simplify right side
    3,104.88x = 6,803,163.69
  5. Step 5: Solve for x
    x = 6,803,163.69/3,104.88
  6. Step 6: Final answer
    x = 2,191.12

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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.