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Finding the Fourth Proportional to 4,657.69, 6,984.14 and 1,733.93

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Solution

The fourth proportional to 4,657.69, 6,984.14 and 1,733.93 is: 2,600.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.69 : 6,984.14 = 1,733.93 : x
  2. Step 2: Convert to fraction form
    4,657.69/6,984.14 = 1,733.93/x
  3. Step 3: Cross multiply
    4,657.69x = 6,984.14 × 1,733.93
  4. Step 4: Simplify right side
    4,657.69x = 12,110,009.87
  5. Step 5: Solve for x
    x = 12,110,009.87/4,657.69
  6. Step 6: Final answer
    x = 2,600.00

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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.