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Finding the Fourth Proportional to 2,998.52, 4,137.26 and 1,802.96

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Solution

The fourth proportional to 2,998.52, 4,137.26 and 1,802.96 is: 2,487.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.52 : 4,137.26 = 1,802.96 : x
  2. Step 2: Convert to fraction form
    2,998.52/4,137.26 = 1,802.96/x
  3. Step 3: Cross multiply
    2,998.52x = 4,137.26 × 1,802.96
  4. Step 4: Simplify right side
    2,998.52x = 7,459,314.29
  5. Step 5: Solve for x
    x = 7,459,314.29/2,998.52
  6. Step 6: Final answer
    x = 2,487.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.