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Finding the Fourth Proportional to 3,090.50, 4,635.18 and 898.70

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Solution

The fourth proportional to 3,090.50, 4,635.18 and 898.70 is: 1,347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.50 : 4,635.18 = 898.70 : x
  2. Step 2: Convert to fraction form
    3,090.50/4,635.18 = 898.70/x
  3. Step 3: Cross multiply
    3,090.50x = 4,635.18 × 898.70
  4. Step 4: Simplify right side
    3,090.50x = 4,165,636.27
  5. Step 5: Solve for x
    x = 4,165,636.27/3,090.50
  6. Step 6: Final answer
    x = 1,347.88

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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.