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Finding the Fourth Proportional to 1,602.68, 2,401.81 and 1,212.35

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Solution

The fourth proportional to 1,602.68, 2,401.81 and 1,212.35 is: 1,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.68 : 2,401.81 = 1,212.35 : x
  2. Step 2: Convert to fraction form
    1,602.68/2,401.81 = 1,212.35/x
  3. Step 3: Cross multiply
    1,602.68x = 2,401.81 × 1,212.35
  4. Step 4: Simplify right side
    1,602.68x = 2,911,819.31
  5. Step 5: Solve for x
    x = 2,911,819.31/1,602.68
  6. Step 6: Final answer
    x = 1,816.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.