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Finding the Fourth Proportional to 2,462.95, 3,695.18 and 1,476.86

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Solution

The fourth proportional to 2,462.95, 3,695.18 and 1,476.86 is: 2,215.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.95 : 3,695.18 = 1,476.86 : x
  2. Step 2: Convert to fraction form
    2,462.95/3,695.18 = 1,476.86/x
  3. Step 3: Cross multiply
    2,462.95x = 3,695.18 × 1,476.86
  4. Step 4: Simplify right side
    2,462.95x = 5,457,237.67
  5. Step 5: Solve for x
    x = 5,457,237.67/2,462.95
  6. Step 6: Final answer
    x = 2,215.73

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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.