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Finding the Fourth Proportional to 2,416.62, 3,624.95 and 661.59

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Solution

The fourth proportional to 2,416.62, 3,624.95 and 661.59 is: 992.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.62 : 3,624.95 = 661.59 : x
  2. Step 2: Convert to fraction form
    2,416.62/3,624.95 = 661.59/x
  3. Step 3: Cross multiply
    2,416.62x = 3,624.95 × 661.59
  4. Step 4: Simplify right side
    2,416.62x = 2,398,230.67
  5. Step 5: Solve for x
    x = 2,398,230.67/2,416.62
  6. Step 6: Final answer
    x = 992.39

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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.