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Finding the Fourth Proportional to 3,119.75, 4,679.66 and 898.66

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Solution

The fourth proportional to 3,119.75, 4,679.66 and 898.66 is: 1,348.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.75 : 4,679.66 = 898.66 : x
  2. Step 2: Convert to fraction form
    3,119.75/4,679.66 = 898.66/x
  3. Step 3: Cross multiply
    3,119.75x = 4,679.66 × 898.66
  4. Step 4: Simplify right side
    3,119.75x = 4,205,423.26
  5. Step 5: Solve for x
    x = 4,205,423.26/3,119.75
  6. Step 6: Final answer
    x = 1,348.00

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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.