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Finding the Fourth Proportional to 3,104.04, 4,658.04 and 1,460.52

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Solution

The fourth proportional to 3,104.04, 4,658.04 and 1,460.52 is: 2,191.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.04 : 4,658.04 = 1,460.52 : x
  2. Step 2: Convert to fraction form
    3,104.04/4,658.04 = 1,460.52/x
  3. Step 3: Cross multiply
    3,104.04x = 4,658.04 × 1,460.52
  4. Step 4: Simplify right side
    3,104.04x = 6,803,160.58
  5. Step 5: Solve for x
    x = 6,803,160.58/3,104.04
  6. Step 6: Final answer
    x = 2,191.71

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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.