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Finding the Fourth Proportional to 3,263.82, 4,897.80 and 1,706.63

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Solution

The fourth proportional to 3,263.82, 4,897.80 and 1,706.63 is: 2,561.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.82 : 4,897.80 = 1,706.63 : x
  2. Step 2: Convert to fraction form
    3,263.82/4,897.80 = 1,706.63/x
  3. Step 3: Cross multiply
    3,263.82x = 4,897.80 × 1,706.63
  4. Step 4: Simplify right side
    3,263.82x = 8,358,707.93
  5. Step 5: Solve for x
    x = 8,358,707.93/3,263.82
  6. Step 6: Final answer
    x = 2,561.02

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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.