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Finding the Fourth Proportional to 4,686.74, 7,031.07 and 1,608.50

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Solution

The fourth proportional to 4,686.74, 7,031.07 and 1,608.50 is: 2,413.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.74 : 7,031.07 = 1,608.50 : x
  2. Step 2: Convert to fraction form
    4,686.74/7,031.07 = 1,608.50/x
  3. Step 3: Cross multiply
    4,686.74x = 7,031.07 × 1,608.50
  4. Step 4: Simplify right side
    4,686.74x = 11,309,476.10
  5. Step 5: Solve for x
    x = 11,309,476.10/4,686.74
  6. Step 6: Final answer
    x = 2,413.08

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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.