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Finding the Fourth Proportional to 3,334.90, 4,998.93 and 1,686.45

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Solution

The fourth proportional to 3,334.90, 4,998.93 and 1,686.45 is: 2,527.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.90 : 4,998.93 = 1,686.45 : x
  2. Step 2: Convert to fraction form
    3,334.90/4,998.93 = 1,686.45/x
  3. Step 3: Cross multiply
    3,334.90x = 4,998.93 × 1,686.45
  4. Step 4: Simplify right side
    3,334.90x = 8,430,420.50
  5. Step 5: Solve for x
    x = 8,430,420.50/3,334.90
  6. Step 6: Final answer
    x = 2,527.94

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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.