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Finding the Fourth Proportional to 4,608.90, 6,914.03 and 1,686.51

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Solution

The fourth proportional to 4,608.90, 6,914.03 and 1,686.51 is: 2,530.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.90 : 6,914.03 = 1,686.51 : x
  2. Step 2: Convert to fraction form
    4,608.90/6,914.03 = 1,686.51/x
  3. Step 3: Cross multiply
    4,608.90x = 6,914.03 × 1,686.51
  4. Step 4: Simplify right side
    4,608.90x = 11,660,572.30
  5. Step 5: Solve for x
    x = 11,660,572.30/4,608.90
  6. Step 6: Final answer
    x = 2,530.01

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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.